Let $y=m \sin r x+n \cos r x$. What is the value of $\frac{d^2 y}{d x^2}$ ?
Answer & explanation
Correct answer: option 4
$y=m \sin r x+n \cos r x$
$\frac{dy}{dx} = mr \cos rx - nr \sin rx$
$\frac{d^2 y}{d x^2} = -mr^2 \sin rx - nr^2 \cos rx = -r^2y$
Option: 4