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

Lösung

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}

Schritte zur Lösung

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})

\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

y^{^{'}} = x^{6} y^{- 7}