What is the solution for y^'=(6x^5y)/(ln(y)) ?

The solution for y^'=(6x^5y)/(ln(y)) is y=e^{sqrt(2x^6+c_{1)}},y=e^{-sqrt(2x^6+c_{1)}}

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y^'=(6x^5y)/(ln(y))

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

y = e^{2 x^{6} + c_{1}}, y = e^{- 2 x^{6} + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{2 x^{6} + c_{1}}, y = e^{- 2 x^{6} + c_{1}}

y = e^{2 x^{6} + c_{1}}, y = e^{- 2 x^{6} + c_{1}}

y^{^{''}} + 6 y^{^{'}} - 7 y = 0

\int 5 e^{x} sec (e^{x} + 2) d x

\int_{6}^{8} \frac{68}{( x - 6 ) ^{3}} d x

\int 3 x^{2} + 4 x d x

f (x) = d e x

What is the solution for y^'=(6x^5y)/(ln(y)) ?
The solution for y^'=(6x^5y)/(ln(y)) is y=e^{sqrt(2x^6+c_{1)}},y=e^{-sqrt(2x^6+c_{1)}}