What is the solution for (dy)/(dx)=(5xy)/((ln(y))^6) ?

The solution for (dy)/(dx)=(5xy)/((ln(y))^6) is y=e^{\sqrt[7]{(35x^2+c_{1})/2}}

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(dy)/(dx)=(5xy)/((ln(y))^6)

\frac{d y}{d x} = \frac{5 x y}{( ln ( y ) ) ^{6}}

y = e^{7 \frac{35 x ^{2} + c _{1}}{2}}

Solution steps

\frac{d y}{d x} = \frac{5 x y}{( ln ( y ) ) ^{6}}

Solve separable ODE:

y = e^{7 \frac{35 x ^{2} + c _{1}}{2}}

y = e^{7 \frac{35 x ^{2} + c _{1}}{2}}

2 q^{^{'}} + 6 q = 2

\frac{d y}{d t} = 3 - \frac{3}{10} y

\frac{1}{2 y} = y^{^{'}} \frac{x ^{2}}{y ^{2} - 8}, y (1) = 9

y^{^{'}} = \frac{2 sin ( x )}{sin ( y )}

- y e^{- x} + x e^{- x} y^{^{'}} = 0

What is the solution for (dy)/(dx)=(5xy)/((ln(y))^6) ?
The solution for (dy)/(dx)=(5xy)/((ln(y))^6) is y=e^{\sqrt[7]{(35x^2+c_{1})/2}}