1.

The solution to of the differential equation \[(x+1)\frac{dy}{dx}-y={{e}^{3x}}{{(x+1)}^{2}}\] is

A. \[y=(x+1){{e}^{3x}}+c\]
B. \[3y=(x+1)+{{e}^{3x}}+c\]
C. \[\frac{3y}{x+1}={{e}^{3x}}+c\]
D. \[y{{e}^{-3x}}=3(x+1)+c\]
Answer» D. \[y{{e}^{-3x}}=3(x+1)+c\]


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