(dy)/(dt)=-0.4y+28

Lösung

\frac{d y}{d t} = - 0.4 y + 28

y = \frac{5 e ^{\frac{- 2 t - c _{1}}{5}}}{2} + 70

Schritte zur Lösung

\frac{d y}{d t} = - 0.4 y + 28

Solve separable ODE:

y = \frac{5 e ^{\frac{- 2 t - c _{1}}{5}}}{2} + 70

y = \frac{5 e ^{\frac{- 2 t - c _{1}}{5}}}{2} + 70

(x - 2) y^{^{'}} - y + 1 = 0

a y^{^{'}} = - b y^{2} - c, y (0) = 10

(u - 1) d x + (x + ux) d u = 0

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

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