Question

The I.F of $(x+2y^3)\frac{dy}{dx}=y^2$ is

• A. $e^{1/y}$
• B. $e^{-1/y}$
• C. $y$
• D. $-1/y$

Answer 1

Answer: (A)

$e^{1/y}$

$\Rightarrow \frac{dx}{dy}=2y+\frac{x}{y^2}$

$\Rightarrow \frac{dx}{dy}+x(-\frac{1}{y^2})=2y$

$\Rightarrow$I.F =$e^{\int \frac{-1}{y^2}dy}=e^{1/y}$