What is the solution for (dy)/(dx)+9y=e^{8x} ?

The solution for (dy)/(dx)+9y=e^{8x} is y=(e^{8x})/(17)+(c_{1})/(e^{9x)}

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(dy)/(dx)+9y=e^{8x}

\frac{d y}{d x} + 9 y = e^{8 x}

y = \frac{e ^{8 x}}{17} + \frac{c _{1}}{e ^{9 x}}

Solution steps

\frac{d y}{d x} + 9 y = e^{8 x}

Solve linear ODE:

y = \frac{e ^{8 x}}{17} + \frac{c _{1}}{e ^{9 x}}

y = \frac{e ^{8 x}}{17} + \frac{c _{1}}{e ^{9 x}}

x^{2}

- x, x^{2} - 12

n = 0 \sum \infty \frac{1}{13 n + 42}

\frac{d}{d x} (\frac{cos ^{2} ( x )}{x})

\int (\frac{5 - x}{x})^{2} d x

What is the solution for (dy)/(dx)+9y=e^{8x} ?
The solution for (dy)/(dx)+9y=e^{8x} is y=(e^{8x})/(17)+(c_{1})/(e^{9x)}