(dv)/(dt)=(1-v)

Lösung

\frac{d v}{d t} = (1 - v)

v = - e^{- t - c_{1}} + 1

Schritte zur Lösung

\frac{d v}{d t} = (1 - v)

Solve separable ODE:

v = - e^{- t - c_{1}} + 1

v = - e^{- t - c_{1}} + 1

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

y^{^{'}} = \frac{4}{y e ^{x + 4 y}}

e^{y} y^{^{'}} = 9 x^{7} + 2

(y^{2} + 6) d x = y sec^{2} (x) d y

\frac{d y}{d x} = \frac{4 x}{y - 1}, y (2) = 3