What is the solution for (dy)/(dx)=e^{2x}+7y ?

The solution for (dy)/(dx)=e^{2x}+7y is y=-(e^{2x})/5+c_{1}e^{7x}

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(dy)/(dx)=e^{2x}+7y

\frac{d y}{d x} = e^{2 x} + 7 y

y = - \frac{e ^{2 x}}{5} + c_{1} e^{7 x}

Solution steps

\frac{d y}{d x} = e^{2 x} + 7 y

Solve linear ODE:

y = - \frac{e ^{2 x}}{5} + c_{1} e^{7 x}

y = - \frac{e ^{2 x}}{5} + c_{1} e^{7 x}

What is the solution for (dy)/(dx)=e^{2x}+7y ?
The solution for (dy)/(dx)=e^{2x}+7y is y=-(e^{2x})/5+c_{1}e^{7x}