Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

If $p$ and $q$ are the order and degree of the differential equation $y \frac{d y}{d x}+x^3 \frac{d^2 y}{d x^2}+x y=\cos x$, then

Options:

$p<q$

$p=q$

$p>q$

none of these

Correct Answer:

$p>q$

Explanation:

The given differential equation is of order 2 and degree 1 .

∴  $p=2$ and $q=1 \Rightarrow p>q$