Question

If $p$ and $q$ are the order and degree of the differential equation $y\frac{dy}{dx}+x^3{\left(\frac{d^{2}y}{d{x}^2}\right)}^3+xy=\cos x$ , then

• A. $p<q$
• B. $p=q$
• C. $p>q$
• D. None of these

Answer 1

Answer: (A)

We have, $y\frac{dy}{dx}+x^3(\frac{d^{2}y}{d{x}^2}{)}^3+xy=\cos x$
Order, $p=2$ and degree, $q=3$
$\therefore p<q[\because 2<3]$