What is the solution for (dy)/(dx)=e^{8x}+13y ?

The solution for (dy)/(dx)=e^{8x}+13y is y=-(e^{8x})/5+c_{1}e^{13x}

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(dy)/(dx)=e^{8x}+13y

\frac{d y}{d x} = e^{8 x} + 13 y

y = - \frac{e ^{8 x}}{5} + c_{1} e^{13 x}

Solution steps

\frac{d y}{d x} = e^{8 x} + 13 y

Solve linear ODE:

y = - \frac{e ^{8 x}}{5} + c_{1} e^{13 x}

y = - \frac{e ^{8 x}}{5} + c_{1} e^{13 x}

x \to \frac{π}{3} lim (\frac{2 cos ^{2} ( x ) + 3 cos ( x ) - 2}{2 cos ( x ) - 1})

f (x) = x^{- \frac{1}{3}}

\int e^{5 x + 4} d x

\int \frac{1 + x}{x} d x

\int \frac{x + 4}{x ^{2}} d x

What is the solution for (dy)/(dx)=e^{8x}+13y ?
The solution for (dy)/(dx)=e^{8x}+13y is y=-(e^{8x})/5+c_{1}e^{13x}