What is the solution for (dv)/(dy)+2*v=4e^{-y} ?

The solution for (dv)/(dy)+2*v=4e^{-y} is v= 4/(e^y)+(c_{1})/(e^{2y)}

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(dv)/(dy)+2*v=4e^{-y}

\frac{d v}{d y} + 2 \cdot v = 4 e^{- y}

v = \frac{4}{e ^{y}} + \frac{c _{1}}{e ^{2 y}}

Solution steps

\frac{d v}{d y} + 2 \cdot v = 4 e^{- y}

Solve linear ODE:

v = \frac{4}{e ^{y}} + \frac{c _{1}}{e ^{2 y}}

v = \frac{4}{e ^{y}} + \frac{c _{1}}{e ^{2 y}}

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g (t) = t

\int \frac{ln ( 4 x )}{x ^{2}} d x

\frac{\partial}{\partial y} (y ln (y) - e^{- x y})

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What is the solution for (dv)/(dy)+2*v=4e^{-y} ?
The solution for (dv)/(dy)+2*v=4e^{-y} is v= 4/(e^y)+(c_{1})/(e^{2y)}