Question

The general solution of differential equation $\frac{d^2y}{dx^2}+9y=sin^3x$ is
(given that c1 and c2 are arbitrary constants)

• A. $y=c_1\cos(3x+c_2)+\frac{1}{24}\sin x-sin3x$
• B. $y=c_1e^{3x}+c_2e^{-3x}+\frac{1}{32}sinx+\frac{1}{2}\cos 3x$
• C. $y=c_1+c_2xe^{3x}+2sinx-\frac{5}{13}sin3x$
• D. $y=c_1sin(3x+c_2)+\frac{3}{32}sinx+\frac{x}{24}\cos 3x$

Answer 1

Answer: (D)

$y=c_1sin(3x+c_2)+\frac{3}{32}sinx+\frac{x}{24}\cos 3x$

Answer 2

The correct answer is(D): $y=c_1sin(3x+c_2)+\frac{3}{32}sinx+\frac{x}{24}\cos 3x$