Question:
The general solution of differential equation \(\frac{d^2y}{dx^2}+9y=sin^3x\) is
(given that c1 and c2 are arbitrary constants)
The general solution of differential equation \(\frac{d^2y}{dx^2}+9y=sin^3x\) is
(given that c1 and c2 are arbitrary constants)
(given that c1 and c2 are arbitrary constants)
Updated On: Mar 12, 2025
- \(y=c_1\cos(3x+c_2)+\frac{1}{24}\sin x-sin3x\)
- \(y=c_1e^{3x}+c_2e^{-3x}+\frac{1}{32}sinx+\frac{1}{2}\cos 3x\)
- \(y=c_1+c_2xe^{3x}+2sinx-\frac{5}{13}sin3x\)
- \(y=c_1sin(3x+c_2)+\frac{3}{32}sinx+\frac{x}{24}\cos 3x\)
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The Correct Option is D
Solution and Explanation
The correct answer is(D): \(y=c_1sin(3x+c_2)+\frac{3}{32}sinx+\frac{x}{24}\cos 3x\)
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