Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

The integrating factor of the differential equation $x\frac{dy}{dx}-y = 2x^2 $ is :

Options:

$e^{-y}$

$e^{-x}$

x

$\frac{1}{x}$

Correct Answer:

$\frac{1}{x}$

Explanation:

The correct answer is Option (4) → $\frac{1}{x}$

Dividing given equation by "x"

$\frac{dy}{dx}-\frac{y}{x}=2x$

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