1.

The solution of the equation \[\frac{{{d}^{2}}y}{d{{x}^{2}}}={{e}^{-2x}}\] is [AIEEE 2002]

A. \[\frac{1}{4}{{e}^{-2x}}\]
B. \[\frac{1}{4}{{e}^{-2x}}+cx+d\]
C. \[\frac{1}{4}{{e}^{-2x}}+c{{x}^{2}}+d\]
D. \[\frac{1}{4}{{e}^{-2x}}+c+d\]
Answer» C. \[\frac{1}{4}{{e}^{-2x}}+c{{x}^{2}}+d\]


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