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}}

X^{3} - X^{2} + 4 X + 5

f (x) = \frac{125}{x ^{2} + 24}, at x = - 1

\frac{d}{d x} (cos (9 x^{2}))

\int \frac{1}{2 x ^{2} - 4 x + 20} d 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)}