What is the solution for (dy)/(dx)(ln|x+8|)^6=y ?

The solution for (dy)/(dx)(ln|x+8|)^6=y is y=e^{integral of 1/(ln|x+8|^6)}

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(dy)/(dx)(ln|x+8|)^6=y

\frac{d y}{d x} (ln ∣ x + 8 ∣)^{6} = y

y = e^{\int \frac{1}{l n ∣ x + 8 ∣ ^{6}} d x}

Solution steps

\frac{d y}{d x} (ln ∣ x + 8 ∣)^{6} = y

Solve separable ODE:

y = e^{\int \frac{1}{l n ∣ x + 8 ∣ ^{6}} d x}

y = e^{\int \frac{1}{l n ∣ x + 8 ∣ ^{6}} d x}

x \frac{d y}{d x} = 2 x^{3} y + y

\frac{d y}{d t} = \frac{3 y}{20} - \frac{y ^{2}}{1900}

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

\frac{d y}{1 + y} = \frac{d x}{1 + x}

e^{x + y} y^{^{'}} = 3 x

What is the solution for (dy)/(dx)(ln|x+8|)^6=y ?
The solution for (dy)/(dx)(ln|x+8|)^6=y is y=e^{integral of 1/(ln|x+8|^6)}