The solution of the differential equation \[x\frac{dy}{dx}+y={{x}^{2}}

1.	The solution of the differential equation \[x\frac{dy}{dx}+y={{x}^{2}}+3x+2\] is
A.	\[xy=\frac{{{x}^{3}}}{3}+\frac{3}{2}{{x}^{2}}+2x+c\]
B.	\[xy=\frac{{{x}^{4}}}{4}+{{x}^{3}}+{{x}^{2}}+c\]
C.	\[xy=\frac{{{x}^{4}}}{4}+\frac{{{x}^{3}}}{3}+{{x}^{2}}+c\]
D.	\[xy=\frac{{{x}^{4}}}{4}+{{x}^{3}}+{{x}^{2}}+cx\]
Answer» B. \[xy=\frac{{{x}^{4}}}{4}+{{x}^{3}}+{{x}^{2}}+c\]

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The solution of the differential equation \[x\frac{dy}{dx}+y={{x}^{2}}+3x+2\] is

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