(dy)/(dt)+4y=12

Lösung

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

y = - e^{- 4 t - c_{1}} + 3

Schritte zur Lösung

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

Solve separable ODE:

y = - e^{- 4 t - c_{1}} + 3

y = - e^{- 4 t - c_{1}} + 3

\frac{d y}{d t} - 2 y = 0

\frac{d y}{d x} = \frac{2 x + x y ^{2}}{4 y + x ^{2} y}

x y \frac{d y}{d x} = y - 1

y^{^{'}} = 1 + x + y + x y

y^{^{'}} = - \frac{y}{x + 1}