y^'=a(1-y)

Lösung

y^{^{'}} = a (1 - y)

y = - e^{- a t - c_{1}} + 1

Schritte zur Lösung

y^{'} (t) = a (1 - y)

Solve separable ODE:

y = - e^{- a t - c_{1}} + 1

y = - e^{- a t - c_{1}} + 1

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

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

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

\frac{d y}{d t} = - \frac{t}{2 y}

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