What is the solution for ((dy)/(dx))+6y=e^{-x} ?

The solution for ((dy)/(dx))+6y=e^{-x} is y= 1/(5e^x)+(c_{1})/(e^{6x)}

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((dy)/(dx))+6y=e^{-x}

(\frac{d y}{d x}) + 6 y = e^{- x}

y = \frac{1}{5 e ^{x}} + \frac{c _{1}}{e ^{6 x}}

Solution steps

(\frac{d y}{d x}) + 6 y = e^{- x}

Solve linear ODE:

y = \frac{1}{5 e ^{x}} + \frac{c _{1}}{e ^{6 x}}

y = \frac{1}{5 e ^{x}} + \frac{c _{1}}{e ^{6 x}}

f (x) = 5 sin (x)

\frac{d}{d x} (\frac{x ^{2} + 5 x}{x + 2})

y^{^{''}} - 4 y^{^{'}} + y = 0

\int \frac{1}{9 + x ^{2}} d x

\int_{0}^{2} (2^{x} + 6) d x

What is the solution for ((dy)/(dx))+6y=e^{-x} ?
The solution for ((dy)/(dx))+6y=e^{-x} is y= 1/(5e^x)+(c_{1})/(e^{6x)}