The answer must ( 4+y^2) (1-x^2)= c
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SEPARATION OF VARIABLES

Rewrite the DE:

dy/dx=(x/(1-x²))(4+y²)/y,

ydy/(4+y²)=xdx(1-x²).

Integrate both sides:

½ln(4+y²)=-½ln|1-x²|+K, where K is a constant,

½ln|(4+y²)(1-x²)|=K,

ln|(4+y²)(1-x²)|=2K,

(4+y²)(1-x²)=e²=c, a different constant.

ago by Top Rated User (839k points)

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