This is differential equation , please solve with complete solution (x sin(x)+1)dy + (y sin(x)+xy cos(x))dx = 0 *%3DO y = C(x^4 - In(x))O C= y+ x^2O y =x cos(x) + CO c= yx sin(x) + yO y = 128 + Ce*(-x/4)O y = C/(1+x^2)O c=y+ In(x/4)O y-1 =x^4(C- In(x))

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(x sin(x)+1)dy + (y sin(x)+xy cos(x))dx = 0 * O y= C(x^4 - In(x)) C= y+ x^2 O y =x cos(x) + C O c= yx sin(x) + y O y = 128 + Ce*(-x/4) O y = c/(1+x*2) O c=y+ In(x/4) O y-1 =x^4(C- In(x))

(x sin(x)+1)dy + (y sin(x)+xy cos(x))dx = 0 * O y= C(x^4 - In(x)) C= y+ x^2 O y =x cos(x) + C O c= yx sin(x) + y O y = 128 + Ce(-x/4) O y = c/(1+x2) O c=y+ In(x/4) O y-1 =x^4(C- In(x))

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

This is differential equation , please solve with complete solution

(x sin(x)+1)dy + (y sin(x)+xy cos(x))dx = 0 *
%3D
O y = C(x^4 - In(x))
O C= y+ x^2
O y =x cos(x) + C
O c= yx sin(x) + y
O y = 128 + Ce*(-x/4)
O y = C/(1+x^2)
O c=y+ In(x/4)
O y-1 =x^4(C- In(x))

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