What is the solution for (dy)/(dx)=e^{8x}+10y ?

The solution for (dy)/(dx)=e^{8x}+10y is y=-(e^{8x})/2+c_{1}e^{10x}

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(dy)/(dx)=e^{8x}+10y

\frac{d y}{d x} = e^{8 x} + 10 y

y = - \frac{e ^{8 x}}{2} + c_{1} e^{10 x}

Solution steps

\frac{d y}{d x} = e^{8 x} + 10 y

Solve linear ODE:

y = - \frac{e ^{8 x}}{2} + c_{1} e^{10 x}

y = - \frac{e ^{8 x}}{2} + c_{1} e^{10 x}

\frac{d}{d x} (\frac{( 3 - 5 x ) ^{6}}{10})

\int \frac{3 \cdot 2 ^{x} - 2 \cdot 3 ^{x}}{2 ^{x}} d x

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\frac{d}{d x} (x^{2} e^{x} - e^{x})

What is the solution for (dy)/(dx)=e^{8x}+10y ?
The solution for (dy)/(dx)=e^{8x}+10y is y=-(e^{8x})/2+c_{1}e^{10x}