The differential equation whose solution is \[y={{c}_{1}}\cos ax+{{c}_{2}}\sin ax\] is (Where \[{{c}_{1}},\ {{c}_{2}}\]are arbitrary constants) [MP PET 1996]

\[\frac{{{d}^{2}}y}{d{{x}^{2}}}+a{{y}^{2}}=0\]

\[\frac{{{d}^{2}}y}{d{{x}^{2}}}+{{y}^{2}}=0\]

\[\frac{{{d}^{2}}y}{d{{x}^{2}}}+{{a}^{2}}y=0\]

\[\frac{{{d}^{2}}y}{d{{x}^{2}}}-{{a}^{2}}y=0\]

The differential equation whose solution is \[y={{c}_{1}}\cos ax+{{c}_

1.	The differential equation whose solution is \[y={{c}_{1}}\cos ax+{{c}_{2}}\sin ax\] is (Where \[{{c}_{1}},\ {{c}_{2}}\]are arbitrary constants) [MP PET 1996]
A.	\[\frac{{{d}^{2}}y}{d{{x}^{2}}}+{{y}^{2}}=0\]
B.	\[\frac{{{d}^{2}}y}{d{{x}^{2}}}+{{a}^{2}}y=0\]
C.	\[\frac{{{d}^{2}}y}{d{{x}^{2}}}+a{{y}^{2}}=0\]
D.	\[\frac{{{d}^{2}}y}{d{{x}^{2}}}-{{a}^{2}}y=0\]
Answer» C. \[\frac{{{d}^{2}}y}{d{{x}^{2}}}+a{{y}^{2}}=0\]

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The differential equation whose solution is \[y={{c}_{1}}\cos ax+{{c}_{2}}\sin ax\] is (Where \[{{c}_{1}},\ {{c}_{2}}\]are arbitrary constants) [MP PET 1996]

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