y^'=3y^2-3y

Lösung

y^{^{'}} = 3 y^{2} - 3 y

y = \frac{1}{1 - e ^{3 t + c_{1}}}

Schritte zur Lösung

y^{'} (t) = 3 y^{2} - 3 y

Solve separable ODE:

y = \frac{1}{1 - e ^{3 t + c_{1}}}

y = \frac{1}{1 - e ^{3 t + c_{1}}}

x^{3} y^{^{'}} - (8 x^{2} - 5) y = 0, y (1) = 2

\frac{d y}{d x} = cy - 1

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

y^{^{'}} = y - 4

(x^{4} + 1) y^{^{'}} + 2 x^{3} y = x^{3}