(dy)/(dt)+2y=6,y(0)=0

Lösung

\frac{d y}{d t} + 2 y = 6, y (0) = 0

y = - 3 e^{- 2 t} + 3

Schritte zur Lösung

\frac{d y}{d t} + 2 y = 6

Solve separable ODE:

y = - 3 e^{- 2 t} + 3

y = - 3 e^{- 2 t} + 3

3 y + 5 + (3 x - 3) \frac{d y}{d x} = 0

\frac{d y}{d x} - \frac{y ^{2} - y}{sin ( x )} = 0

\frac{d y}{d x} = a - b y

\frac{d y}{d x} = 12 x^{3} e^{y}

\frac{d x}{d t} = - \frac{x}{t}