Practicing Success
Practicing Success
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$y=acosx+bsinx$ where a, b are arbitrary constants is a solution of the differential equation : |
$\frac{d^2y}{dx^2}+(a+b)y=0$ $\frac{d^2y}{dx^2}-y=0$ $\frac{d^2y}{dx^2}+y=0$ $\frac{d^2y}{dx^2}+(a-b)y=0$ |
$\frac{d^2y}{dx^2}+y=0$ |
The correct answer is Option (3) → $\frac{d^2y}{dx^2}+y=0$ $y=a\cos x+b\sin x$ $\frac{dy}{dx}=-a\sin x+b\cos x$ $\frac{d^2y}{dx^2}=-a\cos x-b\sin x$ so $\frac{d^2y}{dx^2}=-y⇒\frac{d^2y}{dx^2}+y=0$ |
