What is the solution for (dy)/(dx)= 3/(xy^2) ?

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

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(dy)/(dx)= 3/(xy^2)

\frac{d y}{d x} = \frac{3}{x y ^{2}}

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

Solution steps

\frac{d y}{d x} = \frac{3}{x y ^{2}}

Solve separable ODE:

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

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

\int \frac{cos ( 2 ln ( x ) ) ln ( x )}{x} d x

\int (x^{3} + x^{2}) d x

f (x) = 7 + 5 x

\frac{\partial}{\partial y} (x^{2} y - x y^{3})

\frac{d y}{d x} = - 2 x y

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