1.

The solution to the differential equation \[\frac{dy}{dx}=\frac{x+y}{x}\] satisfying the condition y(1)=1 is

A. \[y=\ln \,x+x\]
B. \[y=x\,\ln \,x+{{x}^{2}}\]
C. \[y=x{{e}^{(x-1)}}\]
D. \[y=x\,\,\ln \,x+x\]
Answer» E.


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