Search for: Let y=y(x) be the solution of the differential equation sinxdydx+ycosx=4x,x∈(0,π). if yπ2=0 then yπ6 is equal to Let y=y(x) be the solution of the differential equation sinxdydx+ycosx=4x,x∈(0,π). if yπ2=0 then yπ6 is equal to A−49π2B493π2C−893π2D−89π2 Fill Out the Form for Expert Academic Guidance!l Grade ---Class 1Class 2Class 3Class 4Class 5Class 6Class 7Class 8Class 9Class 10Class 11Class 12 Target Exam JEENEETCBSE +91 Preferred time slot for the call ---9 am10 am11 am12 pm1 pm2 pm3 pm4 pm5 pm6 pm7 pm8pm9 pm10pm Please indicate your interest Live ClassesBooksTest SeriesSelf Learning Language ---EnglishHindiMarathiTamilTeluguMalayalam Are you a Sri Chaitanya student? NoYes Verify OTP Code (required) I agree to the terms and conditions and privacy policy. Solution:dydx+(cotx)y=4xcosecxI.F. =e∫cotxdx=elog(sinx)=sinxThen the solution is given by y⋅sinx=∫4xcosec(x)sinxdx+C i.e.,ysinx=2x2+CAs y(π/2)=0 we have C=−π2/2So, ysinx=2x2−π2/2∴ y(π/6)=22π236−π22=2π2118−12=−89π2 Related content Nucleus Diagram for Class 9 Neuron Diagram Class 9 Human Heart Diagram Class 10 CBSE Class 7 Science Chapter 1 Nutrition in Plants MCQ Questions with Answers CBSE Class 9 English Worksheet – The Road not Taken 50+ GK Questions and Answers for Class 8 “Kabir Ki Sakhiyan” MCQ Questions for Class 9 Hindi with Answers Kshitij, Kritika, Sparsh, Sanchayan Bhag 1 CBSE Class 7 English Honeycomb Chapter 1 Three Questions MCQ Questions with Answers CBSE Class 9 English Beehive Book Poem 1 The Road Not Taken MCQ Questions with Answers MCQs Questions with Answers for Class 9 English Chapter 1 The Fun They Had