(dy)/(dt)+2y=5,y(0)=1

Lösung

\frac{d y}{d t} + 2 y = 5, y (0) = 1

y = - \frac{3 e ^{- 2 t}}{2} + \frac{5}{2}

Schritte zur Lösung

\frac{d y}{d t} + 2 y = 5

Solve separable ODE:

y = - \frac{3 e ^{- 2 t}}{2} + \frac{5}{2}

y = - \frac{3 e ^{- 2 t}}{2} + \frac{5}{2}

\frac{d y}{d x} = 800 y

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

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

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

d x = x^{6} y d y