{"id":2248,"date":"2021-12-24T14:58:31","date_gmt":"2021-12-24T09:28:31","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=2248"},"modified":"2024-07-02T17:06:09","modified_gmt":"2024-07-02T11:36:09","slug":"ncert-solutions-for-class-12-maths-chapter-9-differential-equations-ex-9-6-exercise-9-6","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-9-differential-equations-exercise-9-6\/","title":{"rendered":"NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations (Ex 9.6) Exercise 9.6"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-9-differential-equations-exercise-9-6\/#NCERT_Solutions_for_Class_12_Maths_Chapter_9_Differential_Equations_Exercise_96_-_CBSE_Free_PDF_Download\" title=\"NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations Exercise 9.6 \u2013 CBSE Free PDF Download\">NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations Exercise 9.6 \u2013 CBSE Free PDF Download<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-9-differential-equations-exercise-9-6\/#NCERT_Solutions_for_Class_12_Maths_Chapter_9_-_Differential_Equations_Exercise_96\" title=\"NCERT Solutions for Class 12 Maths Chapter 9 \u2013 Differential Equations Exercise 9.6\">NCERT Solutions for Class 12 Maths Chapter 9 \u2013 Differential Equations Exercise 9.6<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-9-differential-equations-exercise-9-6\/#Frequently_Asked_Questions_FAQs\" title=\"Frequently Asked Questions (FAQs)\">Frequently Asked Questions (FAQs)<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-9-differential-equations-exercise-9-6\/#Are_there_answers_to_all_of_the_textbook_problems_in_the_NCERT_Solutions_for_Class_12_Maths_Chapter_9\" title=\"Are there answers to all of the textbook problems in the NCERT Solutions for Class 12 Maths Chapter 9?\">Are there answers to all of the textbook problems in the NCERT Solutions for Class 12 Maths Chapter 9?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-9-differential-equations-exercise-9-6\/#Is_Chapter_9_of_Class_12_Maths_difficult\" title=\"Is Chapter 9 of Class 12 Maths difficult?\">Is Chapter 9 of Class 12 Maths difficult?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-9-differential-equations-exercise-9-6\/#What_is_the_finest_NCERT_Class_12_Maths_Chapter_9_Solution_book\" title=\"What is the finest NCERT Class 12 Maths Chapter 9 Solution book?\">What is the finest NCERT Class 12 Maths Chapter 9 Solution book?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p><span data-contrast=\"auto\">Exercise 9.6 of NCERT Solutions for Class 12 Maths Chapter 9 \u2013 Differential Equations focuses on solving linear differential equations. A first-order linear differential equation involves the function y and its first derivative. These equations are crucial for modeling various linear phenomena in biology, economics, population dynamics, and physics. Therefore, mastering the concepts in this exercise is essential for understanding these applications.<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_12_Maths_Chapter_9_Differential_Equations_Exercise_96_-_CBSE_Free_PDF_Download\"><\/span>NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations Exercise 9.6 \u2013 CBSE Free PDF Download<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\">\n\t\t<div class=\"download-pdf-container\">\n\t\t\t<span class=\"title\">Do you need help with your Homework? 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wpcf7-validates-as-required wpcf7-validates-as-number\" aria-required=\"true\" aria-invalid=\"false\" \/><\/span><\/p>\n<p><span style=\"display:none;\"><span class=\"wpcf7-form-control-wrap current-page-url\"><input type=\"text\" name=\"current-page-url\" value=\"https:\/\/_:443\/surge\/wp-json\/wp\/v2\/posts\/2248\" size=\"40\" class=\"wpcf7-form-control wpcf7dtx-dynamictext wpcf7-dynamictext\" aria-invalid=\"false\" \/><\/span><\/span><\/p>\n<style>.wpcf7-list-item{margin: 0 0.5em 0 0!important;}<\/style>\n<p class=\"title\" style=\"color: #6e6e6e;font-size:14px;font-weight:400;text-decoration: un;\"><span class=\"wpcf7-form-control-wrap acceptance-agreement\"><span class=\"wpcf7-form-control wpcf7-acceptance\"><span class=\"wpcf7-list-item\"><input type=\"checkbox\" name=\"acceptance-agreement\" value=\"1\" aria-invalid=\"false\" checked=\"checked\" \/><\/span><\/span><\/span> I agree to the <a target=\"_blank\" href=\"https:\/\/infinitylearn.com\/terms\" style=\"text-decoration: underline;\">terms and conditions<\/a> and <a target=\"_blank\" href=\"https:\/\/infinitylearn.com\/privacy\" style=\"text-decoration: underline;\">privacy policy<\/a>.<\/p>\n<p><input type=\"button\" style=\"cursor:pointer;width:auto;\" class=\"il_otp_submit\" value=\"Get OTP\" onclick=\"sendCF7OTP(this, otp_phone.value, user_name.value)\"><\/p>\n<div class=\"form-submit-btn-div\" style=\"display:none;\">\n<input type=\"submit\" value=\"Download PDF\" class=\"wpcf7-form-control has-spinner wpcf7-submit download-pdf-submit\" \/>\n<\/div>\n<\/div>\n<div class=\"wpcf7-response-output\" aria-hidden=\"true\"><\/div><\/form><\/div>\n\t\t\t\t\t<span class=\"pdf-link hidden\" data-pdf=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/Exercise-9.6.pdf\"><\/span>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t<div class=\"bg-overlay\"><\/div>\n\t\t<\/div>\n\t\t<a href=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/Exercise-9.6.pdf\" class=\"pdfemb-viewer\" style=\"\" data-width=\"max\" data-height=\"max\" data-mobile-width=\"0\"  data-scrollbar=\"both\" data-download=\"off\" data-tracking=\"on\" data-newwindow=\"on\" data-pagetextbox=\"off\" data-scrolltotop=\"on\" data-startzoom=\"100\" data-startfpzoom=\"100\" data-toolbar=\"top\" data-toolbar-fixed=\"on\">Exercise 9.6<br\/><\/a> <\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_12_Maths_Chapter_9_-_Differential_Equations_Exercise_96\"><\/span>NCERT Solutions for Class 12 Maths Chapter 9 \u2013 Differential Equations Exercise 9.6<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-9-differential-equations\/\"><strong>NCERT solutions for Class 12 Maths Chapter 9<\/strong><\/a>, Exercise 9.6 on differential equations, help students understand linear differential equations. These equations come in two standard forms: dy\/dx + Py = Q and dx\/dy + P1x = Q1.<\/p>\n<p>Here are the steps to solve them:<\/p>\n<ol>\n<li>Write the given differential equation in the form dy\/dx + Py = Q, where P and Q are constants or functions of x only.<\/li>\n<li>Find the Integrating Factor (I.F.), which is e^\u222bP dx.<\/li>\n<li>Write the solution of the differential equation as y (I.F.) = \u222b[Q (I.F.)] dx + C.<\/li>\n<\/ol>\n<p><a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/\"><strong>NCERT solutions for Class 12 Maths<\/strong><\/a> Chapter 9, Exercise 9.6, include 19 problems where students must find both the general and particular solutions of linear differential equations using this method.<\/p>\n<p>It&#8217;s crucial to correctly determine the integrating factor, as this is a new concept that students need to understand and apply effectively in the problems. To learn more about solving these questions, access the PDF of the solutions via the link provided below.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions_FAQs\"><\/span>Frequently Asked Questions (FAQs)<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"Are_there_answers_to_all_of_the_textbook_problems_in_the_NCERT_Solutions_for_Class_12_Maths_Chapter_9\"><\/span>Are there answers to all of the textbook problems in the NCERT Solutions for Class 12 Maths Chapter 9?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe NCERT Solutions for Class 12 Maths Chapter 9 are created by subject specialists and are accessible in PDF format. These solutions are based entirely on the most recent CBSE Syllabus 2024-25, and they cover all of the key ideas for the second-term exam. The textbook questions are addressed in a step-by-step fashion based on the weighting of the marks in the second-term exams. Infinity Learn'S has chapter-by-chapter and exercise-by-exercise PDF links that students can use to get their questions answered quickly.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"Is_Chapter_9_of_Class_12_Maths_difficult\"><\/span>Is Chapter 9 of Class 12 Maths difficult?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tMath becomes easier for each student with practice. Maths will be simple for that kid after he or she has a firm grasp of the fundamental principles and has learned the techniques to solve each question. As a result, it's critical to master the fundamentals and practice thoroughly for all types of queries. In terms of complexity, the Class 12 Maths syllabus contains a combination of questions.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_the_finest_NCERT_Class_12_Maths_Chapter_9_Solution_book\"><\/span>What is the finest NCERT Class 12 Maths Chapter 9 Solution book?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tBy going to the Infinity Learn website and looking for Class 12 Maths solutions, you may get NCERT Class 12 Maths Solutions. Aside from that, you'll get access to a number of courses that will help you get good grades on math exams. The solutions to the exercises may be found on the NCERT Solutions Class 12 Maths Chapter 9 page.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Are there answers to all of the textbook problems in the NCERT Solutions for Class 12 Maths Chapter 9?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The NCERT Solutions for Class 12 Maths Chapter 9 are created by subject specialists and are accessible in PDF format. These solutions are based entirely on the most recent CBSE Syllabus 2024-25, and they cover all of the key ideas for the second-term exam. The textbook questions are addressed in a step-by-step fashion based on the weighting of the marks in the second-term exams. Infinity Learn'S has chapter-by-chapter and exercise-by-exercise PDF links that students can use to get their questions answered quickly.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Is Chapter 9 of Class 12 Maths difficult?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Math becomes easier for each student with practice. Maths will be simple for that kid after he or she has a firm grasp of the fundamental principles and has learned the techniques to solve each question. As a result, it's critical to master the fundamentals and practice thoroughly for all types of queries. In terms of complexity, the Class 12 Maths syllabus contains a combination of questions.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the finest NCERT Class 12 Maths Chapter 9 Solution book?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"By going to the Infinity Learn website and looking for Class 12 Maths solutions, you may get NCERT Class 12 Maths Solutions. Aside from that, you'll get access to a number of courses that will help you get good grades on math exams. The solutions to the exercises may be found on the NCERT Solutions Class 12 Maths Chapter 9 page.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n","protected":false},"excerpt":{"rendered":"<p>Exercise 9.6 of NCERT Solutions for Class 12 Maths Chapter 9 \u2013 Differential Equations focuses on solving linear differential equations. [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"exercise 9.6 class 12 maths","_yoast_wpseo_title":"NCERT Solutions for Class 12 Maths Ch-9 Ex 9.6","_yoast_wpseo_metadesc":"Download NCERT Class 12 Maths Chapter 9 Exercise 9.6 solutions PDF, solved by expert teachers according to NCERT Book guidelines. This includes detailed solutions for Differential Equations from Chapter 9 of the Class 12 Maths curriculum.","custom_permalink":"study-materials\/ncert-solutions\/class-12\/maths\/chapter-9-differential-equations-exercise-9-6\/"},"categories":[19,31],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 12 Maths Ch-9 Ex 9.6<\/title>\n<meta name=\"description\" content=\"Download NCERT Class 12 Maths Chapter 9 Exercise 9.6 solutions PDF, solved by expert teachers according to NCERT Book guidelines. 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