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}

\frac{d}{d x} (\frac{y}{x - y})

y = 2 x^{3} - x^{2} + 9, (2, 21)

\int \frac{1}{x - 4} d x

\frac{\partial}{\partial y} (x^{2} e^{5 x y})

y = - x^{2} - 2 x + 3, y = x^{2} - 1

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}