The solution of the equation \[\frac{dy}{dx}=y({{e}^{x}}+1)\]is [AISSE 1986; AI CBSE 1984]

\[y+{{e}^{({{e}^{x}}+x+c)}}=0\]

The solution of the equation \[\frac{dy}{dx}=y({{e}^{x}}+1)\]is [AISSE

1.	The solution of the equation \[\frac{dy}{dx}=y({{e}^{x}}+1)\]is [AISSE 1986; AI CBSE 1984]
A.	\[y+{{e}^{({{e}^{x}}+x+c)}}=0\]
B.	\[\log y={{e}^{x}}+x+c\]
C.	\[\log y+{{e}^{x}}=x+c\]
D.	None of these
Answer» C. \[\log y+{{e}^{x}}=x+c\]

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