What is the solution for (dy)/(dx)=e^{5x}+10y ?

The solution for (dy)/(dx)=e^{5x}+10y is y=-(e^{5x})/5+c_{1}e^{10x}

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(dy)/(dx)=e^{5x}+10y

\frac{d y}{d x} = e^{5 x} + 10 y

y = - \frac{e ^{5 x}}{5} + c_{1} e^{10 x}

Solution steps

\frac{d y}{d x} = e^{5 x} + 10 y

Solve linear ODE:

y = - \frac{e ^{5 x}}{5} + c_{1} e^{10 x}

y = - \frac{e ^{5 x}}{5} + c_{1} e^{10 x}

\int_{0}^{1} \frac{1 + e ^{x}}{e ^{x}} d x

\frac{\partial}{\partial x} (\frac{- x - 6 y}{y ^{2} + 5 x ^{2}})

\frac{\partial}{\partial x} (2 - x^{2})

\frac{1}{s ^{2} + 4}

What is the solution for (dy)/(dx)=e^{5x}+10y ?
The solution for (dy)/(dx)=e^{5x}+10y is y=-(e^{5x})/5+c_{1}e^{10x}