What is the solution for (dy)/(dx)=(7xy)/((ln(y))^{10)} ?

The solution for (dy)/(dx)=(7xy)/((ln(y))^{10)} is y=e^{\sqrt[11]{(77x^2+c_{1})/2}}

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(dy)/(dx)=(7xy)/((ln(y))^{10)}

\frac{d y}{d x} = \frac{7 x y}{( ln ( y ) ) ^{10}}

Solution steps

\frac{d y}{d x} = \frac{7 x y}{( ln ( y ) ) ^{10}}

Solve separable ODE:

\frac{d y}{d x} + \frac{y}{6} = 0

\frac{d y}{d x} + 5 x y = 6 x

\frac{1}{3 y ^{^{'}}} = \frac{2 x + 1}{6 y}

\frac{d y}{d x} + 5 x y = 8 x

y^{^{'}} + 10 y = 0

What is the solution for (dy)/(dx)=(7xy)/((ln(y))^{10)} ?
The solution for (dy)/(dx)=(7xy)/((ln(y))^{10)} is y=e^{\sqrt[11]{(77x^2+c_{1})/2}}