Question

I.F of $\frac{dy}{dx}+\frac{y}{x}=x^2$ is:

• A. $\frac{1}{x}$
• B. $x$
• C. $cosx$
• D. $x^2$

Answer 1

The correct option is B $x$

$\frac{dy}{dx}+\frac{y}{x}=x^2$
$I.F=e^{\int P\left(x\right)dx}$
$=e^{\int \frac{1}{x}dx}$
$=e^{logx}$
$\Rightarrow I.F=x$