What is the solution for (dx)/(dt)+3x=e^{-2t} ?

The solution for (dx)/(dt)+3x=e^{-2t} is x= 1/(e^{2t)}+(c_{1})/(e^{3t)}

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(dx)/(dt)+3x=e^{-2t}

\frac{d x}{d t} + 3 x = e^{- 2 t}

x = \frac{1}{e ^{2 t}} + \frac{c _{1}}{e ^{3 t}}

Solution steps

\frac{d x}{d t} + 3 x = e^{- 2 t}

Solve linear ODE:

x = \frac{1}{e ^{2 t}} + \frac{c _{1}}{e ^{3 t}}

x = \frac{1}{e ^{2 t}} + \frac{c _{1}}{e ^{3 t}}

x \to 0 - lim ((1 + x)^{\frac{1}{x}})

f (x) = (4 x - x^{2})^{3}

e^{x}, x^{2} - 1, - 1.14776, 2

\int \frac{6 x + 15}{2 x + 1} d x

\frac{d}{d x} ((\frac{x ^{2} + 1}{x ^{2} - 1})^{3})

What is the solution for (dx)/(dt)+3x=e^{-2t} ?
The solution for (dx)/(dt)+3x=e^{-2t} is x= 1/(e^{2t)}+(c_{1})/(e^{3t)}