(dx)/(dt)=(1+t)(1-x)

Lösung

\frac{d x}{d t} = (1 + t) (1 - x)

x = - e^{- t - \frac{t ^{2}}{2} - c_{1}} + 1

Schritte zur Lösung

\frac{d x}{d t} = (1 + t) (1 - x)

Solve separable ODE:

x = - e^{- t - \frac{t ^{2}}{2} - c_{1}} + 1

x = - e^{- t - \frac{t ^{2}}{2} - c_{1}} + 1

\frac{d y}{3 y ^{2}} = t d t

\frac{y ^{^{'}}}{x} + 3 x y = x

y ln (x) d x = x ln (y) d y

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

(\frac{d y}{d x}) - y x = 0