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ProPatto16
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Homework Statement
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
The Attempt at a Solution
2y(1+x2)dy/dx+x(1+y2)=0
2y(1+x2)dy/dx=-x(1+y2)
2y/(1+y2)dy = -x/(1+x2)dx
if i integrate these i end up with ln in the equations. so i don't know how to do it so it relates to the given answers?