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

The solution for (dy)/(dx)=e^{3x}+8y is y=-(e^{3x})/5+c_{1}e^{8x}

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

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

y = - \frac{e ^{3 x}}{5} + c_{1} e^{8 x}

Solution steps

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

Solve linear ODE:

y = - \frac{e ^{3 x}}{5} + c_{1} e^{8 x}

y = - \frac{e ^{3 x}}{5} + c_{1} e^{8 x}

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What is the solution for (dy)/(dx)=e^{3x}+8y ?
The solution for (dy)/(dx)=e^{3x}+8y is y=-(e^{3x})/5+c_{1}e^{8x}