(dy)/(dt)=0.04-y/((4320/7))

Lösung

\frac{d y}{d t} = 0.04 - \frac{y}{( \frac{4320}{7} )}

y = - \frac{e ^{- 0.00162 \dots t - c_{1}}}{7} + \frac{172.8}{7}

Schritte zur Lösung

\frac{d y}{d t} = 0.04 - \frac{y}{( \frac{4320}{7} )}

Solve separable ODE:

y = - \frac{e ^{- 0.00162 \dots t - c_{1}}}{7} + \frac{172.8}{7}

y = - \frac{e ^{- 0.00162 \dots t - c_{1}}}{7} + \frac{172.8}{7}

y^{^{'}} = \frac{2 x y - 2 x}{x ^{2} + 3}

7 y^{^{'}} - 2 y - 80 = 6 y^{^{'}}

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

x^{^{'}} + x^{2} = 1

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