What is the solution for (dy)/(dx)-y=3e^{8x} ?

The solution for (dy)/(dx)-y=3e^{8x} is y=(3e^{8x})/7+c_{1}e^x

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(dy)/(dx)-y=3e^{8x}

\frac{d y}{d x} - y = 3 e^{8 x}

y = \frac{3 e ^{8 x}}{7} + c_{1} e^{x}

Solution steps

\frac{d y}{d x} - y = 3 e^{8 x}

Solve linear ODE:

y = \frac{3 e ^{8 x}}{7} + c_{1} e^{x}

y = \frac{3 e ^{8 x}}{7} + c_{1} e^{x}

\frac{cos ( x )}{x ^{4}}

\frac{d}{d x} (5 x + 7)

\frac{ln ( x )}{x}

\int_{0}^{1} x 3 1 - x d x

\int \frac{1}{( 1 + e ^{- x} )} d x

What is the solution for (dy)/(dx)-y=3e^{8x} ?
The solution for (dy)/(dx)-y=3e^{8x} is y=(3e^{8x})/7+c_{1}e^x