(dp)/(dt)=(1-p)

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

\frac{d y}{y} = sin (x) d x

y^{^{'}} = - sin (y)

y^{^{'}} = cy

\frac{d y}{d x} = \frac{sin ( x )}{4 y}, y (0) = - 8

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