What is the solution for (dy)/(dx)+3y=e^{-3x} ?

The solution for (dy)/(dx)+3y=e^{-3x} is y= x/(e^{3x)}+(c_{1})/(e^{3x)}

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(dy)/(dx)+3y=e^{-3x}

\frac{d y}{d x} + 3 y = e^{- 3 x}

y = \frac{x}{e ^{3 x}} + \frac{c _{1}}{e ^{3 x}}

Solution steps

\frac{d y}{d x} + 3 y = e^{- 3 x}

Solve linear ODE:

y = \frac{x}{e ^{3 x}} + \frac{c _{1}}{e ^{3 x}}

y = \frac{x}{e ^{3 x}} + \frac{c _{1}}{e ^{3 x}}

\frac{2 x - 5}{x ^{2} - 1}

x \to - 1 lim (arctan (x))

\frac{d}{d x} (arcsinh (\frac{2 x + 5}{23}))

\frac{d}{d x} (- 3 x)

What is the solution for (dy)/(dx)+3y=e^{-3x} ?
The solution for (dy)/(dx)+3y=e^{-3x} is y= x/(e^{3x)}+(c_{1})/(e^{3x)}