y^'=x^2*y^2

Lösung

y^{^{'}} = x^{2} \cdot y^{2}

y = - \frac{3}{x ^{3} + c _{1}}

Schritte zur Lösung

y^{'} (x) = x^{2} \cdot y^{2}

Solve separable ODE:

y = - \frac{3}{x ^{3} + c _{1}}

y = - \frac{3}{x ^{3} + c _{1}}

y^{^{'}} = e^{- y} \frac{x ^{4}}{8}

5 y^{2} d x - 45 x y d y = 0

\frac{d y}{d x} = - 0.3 y

2 y y^{^{'}} = 3 t^{2}, y (0) = 8

\frac{d y}{d t} = \frac{2 y}{t + 1}