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

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

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

\frac{1}{x ^{8}} \frac{d y}{d x} = 12 + 15 y

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

Solution steps

\frac{1}{x ^{8}} \frac{d y}{d x} = 12 + 15 y

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}

\frac{5}{ln ( x )}

\frac{d}{d x} (\frac{1}{x - 2} - 3)

t \to 1 lim (cos (π t))

y = x^{3}, y = 4 + 2 x, x = 0

y = ln (3 x) + x

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