What is the solution for (dy)/(dx)=(20xy)/((ln(y))^6) ?

The solution for (dy)/(dx)=(20xy)/((ln(y))^6) is y=e^{\sqrt[7]{70x^2+c_{1}}}

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(dy)/(dx)=(20xy)/((ln(y))^6)

\frac{d y}{d x} = \frac{20 x y}{( ln ( y ) ) ^{6}}

Solution steps

\frac{d y}{d x} = \frac{20 x y}{( ln ( y ) ) ^{6}}

Solve separable ODE:

f^{^{'}} (x) = f (x) (x)^{- 1} (x)

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

\frac{d y}{d x} = y (10000 - 50 x)

81 x^{2} + 2 y \cdot \frac{d y}{d x} = 0

y^{^{'}} + \frac{1}{2} (x - 2) y^{2} = 0, y (6) = \frac{1}{10}

What is the solution for (dy)/(dx)=(20xy)/((ln(y))^6) ?
The solution for (dy)/(dx)=(20xy)/((ln(y))^6) is y=e^{\sqrt[7]{70x^2+c_{1}}}