Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

Integrating factor of the differential equation $x \frac{d y}{d x}-y=3 x^2$ is:

Options:

$-x$

$\frac{1}{x}$

$-\log x$

$e^{-x}$

Correct Answer:

$\frac{1}{x}$

Explanation:

The correct answer is Option (2) - $\frac{1}{x}$

Divide equation by (x)

$⇒\frac{dy}{dx}-\frac{y}{x}=3x$

$I.F.=e^{\int -\frac{1}{x}dx}=e^{-\log x}=\frac{1}{x}$