What is the solution for (dy)/(dx)=(((ln(x^6)))/(xy^2)) ?

The solution for (dy)/(dx)=(((ln(x^6)))/(xy^2)) is y=\sqrt[3]{9ln^2(x)+c_{1}}

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(dy)/(dx)=(((ln(x^6)))/(xy^2))

\frac{d y}{d x} = (\frac{( ln ( x ^{6} ) )}{x y ^{2}})

y = 3 9 ln^{2} (x) + c_{1}

Solution steps

\frac{d y}{d x} = (\frac{( ln ( x ^{6} ) )}{x y ^{2}})

Solve separable ODE:

y = 3 9 ln^{2} (x) + c_{1}

y = 3 9 ln^{2} (x) + c_{1}

y^{^{'}} - 2 y = g

5 x (y^{2} + 7) d x - y d y = 0

\frac{d S}{d t} = 0.05 - 0.00375 \cdot S, S (0) = 0

\frac{d}{d x} (2 y ln (y)) = \frac{d x}{d x}

\frac{d y}{d x} = x^{2} y^{5}

What is the solution for (dy)/(dx)=(((ln(x^6)))/(xy^2)) ?
The solution for (dy)/(dx)=(((ln(x^6)))/(xy^2)) is y=\sqrt[3]{9ln^2(x)+c_{1}}