Question

The general solution of the differential equation $\left(x-y^2\right) d x+y\left(5 x+y^2\right) d y=0$ is :

• A. $\left(y^2+x\right)^4=C\left|\left(y^2+2 x\right)^3\right|$
• B. $\left( y ^2+2 x \right)^4= C \left|\left( y ^2+ x \right)^3\right|$
• C. $\left|\left(y^2+x\right)^3\right|=C\left(2 y^2+x\right)^4$
• D. $\left|\left(y^2+2 x\right)^3\right|=C\left(2 y^2+x\right)^4$

Answer 1

Answer: (A)

$\left(y^2+x\right)^4=C\left|\left(y^2+2 x\right)^3\right|$

Answer 2

The correct option is(A): $\left(y^2+x\right)^4=C\left|\left(y^2+2 x\right)^3\right|$.