What is the solution for (dy)/(dx)=(((ln(x^6)))/(xy^2)),y(1)=5 ?

The solution for (dy)/(dx)=(((ln(x^6)))/(xy^2)),y(1)=5 is y=\sqrt[3]{9ln^2(x)+125}

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(dy)/(dx)=(((ln(x^6)))/(xy^2)),y(1)=5

\frac{d y}{d x} = (\frac{( ln ( x ^{6} ) )}{x y ^{2}}), y (1) = 5

Solution steps

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

Solve separable ODE:

\frac{d y}{d x} 5 x^{2} - 4 y^{2} = 16

\frac{d y}{d x} y = e^{x + y}

(x y + y^{2}) y^{^{'}} = x^{2} + x y, y (1) = 0

y^{^{'}} = x^{2} + y^{2} + x^{2} y^{2} + 1

a x^{^{'}} + b x = 0, x (0) = e^{r t}

What is the solution for (dy)/(dx)=(((ln(x^6)))/(xy^2)),y(1)=5 ?
The solution for (dy)/(dx)=(((ln(x^6)))/(xy^2)),y(1)=5 is y=\sqrt[3]{9ln^2(x)+125}