Question

Solution of $\frac{d^{2}y}{dx^{2}} + 4\frac{dy}{dx} + 29y = 0$, $y(0) = 0$ is}

• A. $y = ce^{-2x} \cos 5x$
• B. $y = ce^{-2x} \sin 2x$
• C. $y = ce^{-2x} \sin 5x$
• D. $y = ce^{2x} \cos 5x$

Hint:

If the roots are $\alpha \pm i\beta$, the exponential part uses $\alpha$ and the trigonometric part uses $\beta$.

Answer 1

The Correct Option is C