{"id":2238,"date":"2021-12-24T14:54:57","date_gmt":"2021-12-24T09:24:57","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=2238"},"modified":"2024-07-02T15:39:24","modified_gmt":"2024-07-02T10:09:24","slug":"ncert-solutions-for-class-12-maths-chapter-9-differential-equations-ex-9-1-exercise-9-1","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-9-differential-equations-exercise-9-1\/","title":{"rendered":"NCERT Solution Class 12 Chapter 9 &#8211; Differential Equations Exercise 9.1"},"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 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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-9-1\/#NCERT_Solutions_for_Class_12_Maths_Chapter_9_Differential_Equations_Exercise_91_-_CBSE_Free_PDF_Download\" title=\"NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations Exercise 9.1 \u2013 CBSE Free PDF Download\">NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations Exercise 9.1 \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-9-1\/#NCERT_Solutions_for_Class_12_Maths_Chapter_9_-_Differential_Equations_Exercise_91\" title=\"NCERT Solutions for Class 12 Maths Chapter 9 \u2013 Differential Equations Exercise 9.1\">NCERT Solutions for Class 12 Maths Chapter 9 \u2013 Differential Equations Exercise 9.1<\/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-9-1\/#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-9-1\/#According_to_the_textbooks_for_Class_12_what_is_a_differential_equation\" title=\"According to the textbooks for Class 12, what is a differential equation?\">According to the textbooks for Class 12, what is a differential equation?<\/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-9-1\/#What_is_the_procedure_for_solving_differential_equations\" title=\"What is the procedure for solving differential equations?\">What is the procedure for solving differential equations?<\/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-9-1\/#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><\/ul><\/li><\/ul><\/nav><\/div>\n<p>Exercise 9.1 of <a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/\"><strong>NCERT Solutions for Class 12 Maths<\/strong><\/a> Chapter 9 \u2013 Differential Equations covers the following topics:<\/p>\n<ul>\n<li>Introduction to differential equations<\/li>\n<li>Basic concepts of differential equations<\/li>\n<li>Order of a differential equation<\/li>\n<li>Degree of a differential equation<\/li>\n<\/ul>\n<p>Solving the problems in this exercise will help students gain a better understanding of these topics.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_12_Maths_Chapter_9_Differential_Equations_Exercise_91_-_CBSE_Free_PDF_Download\"><\/span>NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations Exercise 9.1 \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 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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\/2238\" 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-9.1.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-9.1.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 9.1<br\/><\/a> <\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_12_Maths_Chapter_9_-_Differential_Equations_Exercise_91\"><\/span>NCERT Solutions for Class 12 Maths Chapter 9 \u2013 Differential Equations Exercise 9.1<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 \u2013 Differential Equations<\/strong><\/a> Exercise 9.1 provide detailed explanations and solutions for various problems related to differential equations. This exercise introduces students to the fundamental concepts of differential equations, including their order and degree.<\/p>\n<p>It covers basic techniques for solving differential equations and emphasizes understanding these concepts through practice problems. By working through Exercise 9.1, students will develop a strong foundation in identifying and solving different types of differential equations, which is crucial for advanced studies in mathematics and related fields. These <a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/\"><strong>NCERT solutions<\/strong><\/a> are essential for students aiming to excel in their exams.<\/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=\"According_to_the_textbooks_for_Class_12_what_is_a_differential_equation\"><\/span>According to the textbooks for Class 12, what is a differential equation?<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\tDifferential equations can be used to differentiate any function with respect to an independent variable. It expresses the relationship between functions and derivatives. Differential equations are used to describe the relationship between physical quantities and their derivatives, which refers to the pace at which the function changes. A D.E. is written as dy\/dx = g(x). The function is denoted by the letter y. And the mentioned function is f(x). \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_procedure_for_solving_differential_equations\"><\/span>What is the procedure for solving differential equations?<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\tDifferent orders of differential equations exist. There are several methods for solving these equations. We must substitute in order to solve first-order linear differential equations. The separation of variables can then be done following part factorization. We can now substitute the original value once this step has been completed properly. Repeat these processes until the original equation's solution is found.\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. The solutions may be found on the NCERT Solutions Class 12 Maths Chapter 9 website.\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\": \"According to the textbooks for Class 12, what is a differential equation?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Differential equations can be used to differentiate any function with respect to an independent variable. It expresses the relationship between functions and derivatives. Differential equations are used to describe the relationship between physical quantities and their derivatives, which refers to the pace at which the function changes. A D.E. is written as dy\/dx = g(x). The function is denoted by the letter y. And the mentioned function is f(x).\"\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 procedure for solving differential equations?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Different orders of differential equations exist. There are several methods for solving these equations. We must substitute in order to solve first-order linear differential equations. The separation of variables can then be done following part factorization. We can now substitute the original value once this step has been completed properly. Repeat these processes until the original equation's solution is found.\"\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. The solutions may be found on the NCERT Solutions Class 12 Maths Chapter 9 website.\"\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 9.1 of NCERT Solutions for Class 12 Maths Chapter 9 \u2013 Differential Equations covers the following topics: Introduction to [&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":"NCERT Solutions For Class 12 Maths","_yoast_wpseo_title":"NCERT Solutions For Class 12 Maths Ch- 9 Ex 9.1 - Free Download","_yoast_wpseo_metadesc":"NCERT Solutions For Class 12 Maths Ch-9 Differential Equations Ex 9.1 can be downloaded for Free at Infinity Learn. 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