(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Solve the differential equation 2y(1 + x2 )y'+ x(1 + y2 ) = 0 where y = 2 when x = 0.

given answers are

a. (1 + x2 )(1 + y2 )2= 0

b. (1 + x2 )2 (1 + y2 ) = 25

c. (1 + x2 )2 (1 + y2 )2= 0

d. (1 + x2 )(1 + y2 ) = 0

e. (1 + x2 )(1 + y2 )2= 25

3. The attempt at a solution

2y(1+x^{2})dy/dx+x(1+y^{2})=0

2y(1+x^{2})dy/dx=-x(1+y^{2})

2y/(1+y^{2})dy = -x/(1+x^{2})dx

if i integrate these i end up with ln in the equations. so i dunno how to do it so it relates to the given answers?

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# Homework Help: Differential equation

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