(dv)/(dt)+2v=32

Lösung

\frac{d v}{d t} + 2 v = 32

v = - e^{- 2 t - c_{1}} + 16

Schritte zur Lösung

\frac{d v}{d t} + 2 v = 32

Solve separable ODE:

v = - e^{- 2 t - c_{1}} + 16

v = - e^{- 2 t - c_{1}} + 16

\frac{d x}{d t} = 5 x - 3, x (2) = 1

\frac{d y}{d x} = 5 x (y^{2})

\frac{d y}{d x} + 4 y = 12

x d y - (y + 1) d x = 0

\frac{d y}{d x} = - \frac{3}{4} x^{4} y^{2}