The integrating factor of the differential equation $x\frac{dy}{dx}+2y =x^2 $ is :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → $x^2$
Dividing eq. by (x)
we get $\frac{dy}{dx}+\frac{2}{x}y=x$
so I.F. = $e^{\int\frac{2}{x}dx}=e^{2\log x}=x^2$
$⇒I.F. =x^2$