What is the solution for (dy)/(dx)-5y=6e^{8x} ?

The solution for (dy)/(dx)-5y=6e^{8x} is y=2e^{8x}+c_{1}e^{5x}

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(dy)/(dx)-5y=6e^{8x}

\frac{d y}{d x} - 5 y = 6 e^{8 x}

y = 2 e^{8 x} + c_{1} e^{5 x}

Solution steps

\frac{d y}{d x} - 5 y = 6 e^{8 x}

Solve linear ODE:

y = 2 e^{8 x} + c_{1} e^{5 x}

y = 2 e^{8 x} + c_{1} e^{5 x}

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\int \frac{x ^{2}}{4} - 4 x + 17 d x

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\frac{( x ^{2} + 2 y ^{2} ) d x}{d y} = x y

\int_{5}^{8} \frac{y}{y ^{2} - y - 2} d y

What is the solution for (dy)/(dx)-5y=6e^{8x} ?
The solution for (dy)/(dx)-5y=6e^{8x} is y=2e^{8x}+c_{1}e^{5x}