Target Exam

CUET

Subject

Section B1

Chapter

Differential Equations

Question:

Which of the following is a second order differential equation?

Options:

$(y')^2 + x = y^2$

$y' y'' + y = \sin x$

$y''' + (y'')^2 + y = 0$

$y' = y^2$

Correct Answer:

$y' y'' + y = \sin x$

Explanation:

The correct answer is Option (2) → $y' y'' + y = \sin x$ ##

The second order differential equation is $y' y'' + y = \sin x$.

$\Rightarrow \left( \frac{dy}{dx} \right) \left( \frac{d^2y}{dx^2} \right) + y = \sin x$