AMU MCA Formation Of Differential Equations Previous Year Questions (PYQs)
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The function $y=c_1\cos x+c_2\sin x$ is a solution of the D.E. where $c_1$ and $c_2$ are real numbers
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Solution
$ y=c_1\cos x+c_2\sin x $
$ \frac{dy}{dx}=-c_1\sin x+c_2\cos x $
$ \frac{d^2y}{dx^2}=-c_1\cos x-c_2\sin x=-y $
$ \Rightarrow \frac{d^2y}{dx^2}+y=0 $
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