What is the solution for (dy)/(dx)+2y=e^{3x} ?

The solution for (dy)/(dx)+2y=e^{3x} is y=(e^{3x})/5+(c_{1})/(e^{2x)}

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(dy)/(dx)+2y=e^{3x}

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

y = \frac{e ^{3 x}}{5} + \frac{c _{1}}{e ^{2 x}}

Solution steps

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

Solve linear ODE:

y = \frac{e ^{3 x}}{5} + \frac{c _{1}}{e ^{2 x}}

y = \frac{e ^{3 x}}{5} + \frac{c _{1}}{e ^{2 x}}

\frac{d}{d x} (5 sin (3 x))

x^{8} e^{6 x}

(2 x^{3})^{^{'}}

\frac{x - 1}{x ^{3}}

\int (x^{2} - 3)^{2} d x

What is the solution for (dy)/(dx)+2y=e^{3x} ?
The solution for (dy)/(dx)+2y=e^{3x} is y=(e^{3x})/5+(c_{1})/(e^{2x)}