Solution of differential equation \[x\frac{dy}{dx}=y+{{x}^{^{2}}}\] is [MP PET 1997]

\[y={{\log }_{e}}x+\frac{{{x}^{2}}}{2}+a\]

\[y=\frac{{{x}^{3}}}{3}+\frac{a}{x}\]

Solution of differential equation \[x\frac{dy}{dx}=y+{{x}^{^{2}}}\] is

1.	Solution of differential equation \[x\frac{dy}{dx}=y+{{x}^{^{2}}}\] is [MP PET 1997]
A.	\[y={{\log }_{e}}x+\frac{{{x}^{2}}}{2}+a\]
B.	\[y=\frac{{{x}^{3}}}{3}+\frac{a}{x}\]
C.	\[y={{x}^{2}}+ax\]
D.	None of these
Answer» D. None of these

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Solution of differential equation \[x\frac{dy}{dx}=y+{{x}^{^{2}}}\] is [MP PET 1997]

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