The solution of the differential equation \[x\frac{{{d}^{2}}y}{d{{x}^{2}}}=1\], given that \[y=1,\ \frac{dy}{dx}=0\]when \[x=1\], is

The solution of the differential equation \[x\frac{{{d}^{2}}y}{d{{x}^{

1.	The solution of the differential equation \[x\frac{{{d}^{2}}y}{d{{x}^{2}}}=1\], given that \[y=1,\ \frac{dy}{dx}=0\]when \[x=1\], is
A.	\[y=x\log x+x+2\]
B.	\[y=x\log x-x+2\]
C.	\[y=x\log x+x\]
D.	\[y=x\log x-x\]
Answer» C. \[y=x\log x+x\]

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The solution of the differential equation \[x\frac{{{d}^{2}}y}{d{{x}^{2}}}=1\], given that \[y=1,\ \frac{dy}{dx}=0\]when \[x=1\], is

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