The differential equation satisfied by the family of curves \[y=ax\cos \,\left( \frac{1}{x}+b \right)\], where a, b are parameters, is [MP PET 2003]

The differential equation satisfied by the family of curves \[y=ax\cos

1.	The differential equation satisfied by the family of curves \[y=ax\cos \,\left( \frac{1}{x}+b \right)\], where a, b are parameters, is [MP PET 2003]
A.	\[{{x}^{2}}{{y}_{2}}+y=0\]
B.	\[{{x}^{4}}{{y}_{2}}+y=0\]
C.	\[x{{y}_{2}}-y=0\]
D.	\[{{x}^{4}}{{y}_{2}}-y=0\]
Answer» C. \[x{{y}_{2}}-y=0\]

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The differential equation satisfied by the family of curves \[y=ax\cos \,\left( \frac{1}{x}+b \right)\], where a, b are parameters, is [MP PET 2003]

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