What is the solution for (dy)/(dx)(1/(x^8))-15y=12 ?

The solution for (dy)/(dx)(1/(x^8))-15y=12 is y=(e^{(5x^9+c_{1})/3})/(5)-4/5

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(dy)/(dx)(1/(x^8))-15y=12

\frac{d y}{d x} (\frac{1}{x ^{8}}) - 15 y = 12

y = \frac{e ^{\frac{5 x ^{9} + c _{1}}{3}}}{5} - \frac{4}{5}

Solution steps

\frac{d y}{d x} (\frac{1}{x ^{8}}) - 15 y = 12

Solve separable ODE:

y = \frac{e ^{\frac{5 x ^{9} + c _{1}}{3}}}{5} - \frac{4}{5}

y = \frac{e ^{\frac{5 x ^{9} + c _{1}}{3}}}{5} - \frac{4}{5}

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ln (1 - 2 y)

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What is the solution for (dy)/(dx)(1/(x^8))-15y=12 ?
The solution for (dy)/(dx)(1/(x^8))-15y=12 is y=(e^{(5x^9+c_{1})/3})/(5)-4/5