What is the solution for x*(dy)/(dx)= 1/(y^3) ?

The solution for x*(dy)/(dx)= 1/(y^3) is y=\sqrt[4]{4ln(x)+c_{1}},y=-\sqrt[4]{4ln(x)+c_{1}}

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x*(dy)/(dx)= 1/(y^3)

x \cdot \frac{d y}{d x} = \frac{1}{y ^{3}}

y = 4 4 ln (x) + c_{1}, y = - 4 4 ln (x) + c_{1}

Solution steps

x \cdot \frac{d y}{d x} = \frac{1}{y ^{3}}

Solve separable ODE:

y = 4 4 ln (x) + c_{1}, y = - 4 4 ln (x) + c_{1}

y = 4 4 ln (x) + c_{1}, y = - 4 4 ln (x) + c_{1}

y^{^{'}} = x^{6} y^{- 5}

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

e^{x} sin (y) d x + e^{x} cos (y) d y = 0

\frac{d p}{d t} = 2.5 p - 5 p^{2}

\frac{d y}{d x} = x e^{5 y - 3 x}, y (0) = 1

What is the solution for x*(dy)/(dx)= 1/(y^3) ?
The solution for x*(dy)/(dx)= 1/(y^3) is y=\sqrt[4]{4ln(x)+c_{1}},y=-\sqrt[4]{4ln(x)+c_{1}}