y^'=y^2x^2

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

\frac{d y}{d x} = 8 x sec (y)

\frac{d y}{d x} = 0.4 x y

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

y^{^{'}} - y ln (y) = 0

2 x y d x + (1 + x^{2}) d y = 0, y = 1