What is the solution for (dy)/(dx)+2y=e^{-x} ?

The solution for (dy)/(dx)+2y=e^{-x} is y= 1/(e^x)+(c_{1})/(e^{2x)}

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(dy)/(dx)+2y=e^{-x}

\frac{d y}{d x} + 2 y = e^{- x}

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

Solution steps

\frac{d y}{d x} + 2 y = e^{- x}

Solve linear ODE:

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

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

What is the solution for (dy)/(dx)+2y=e^{-x} ?
The solution for (dy)/(dx)+2y=e^{-x} is y= 1/(e^x)+(c_{1})/(e^{2x)}