1.

Family of curves \[y={{e}^{x}}(A\cos x+B\sin x)\], represents the differential equation          [MP PET 1999]

A.                 \[\frac{{{d}^{2}}y}{d{{x}^{2}}}=2\frac{dy}{dx}-y\]             
B.                 \[\frac{{{d}^{2}}y}{d{{x}^{2}}}=2\frac{dy}{dx}-2y\]
C.                 \[\frac{{{d}^{2}}y}{d{{x}^{2}}}=\frac{dy}{dx}-2y\]             
D.                 \[\frac{{{d}^{2}}y}{d{{x}^{2}}}=2\frac{dy}{dx}+y\]
Answer» C.                 \[\frac{{{d}^{2}}y}{d{{x}^{2}}}=\frac{dy}{dx}-2y\]             


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