What is the solution for (dy)/(dx)= 1/((xy)^2) ?

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

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(dy)/(dx)= 1/((xy)^2)

\frac{d y}{d x} = \frac{1}{( x y ) ^{2}}

Solution steps

\frac{d y}{d x} = \frac{1}{( x y ) ^{2}}

Solve separable ODE:

y \frac{d y}{d x} = 6 x^{2}

\frac{d y}{d x} + 18 x^{2} y = 5 x^{2}, y (0) = 4

\frac{d x}{d t} + \frac{x}{50} = 4

x^{5} (\frac{d y}{d x}) = 3 x^{2} 1 - y^{2}

x \frac{d y}{d x} = 1 - y^{2}

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