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Beliebt Rechnen >

(dy)/(dt)= 40/2000-y/(200)

Lösung

\frac{d y}{d t} = \frac{40}{2000} - \frac{y}{200}

Lösung

y = - e^{\frac{- t - c _{1}}{200}} + 4

Schritte zur Lösung

\frac{d y}{d t} = \frac{40}{2000} - \frac{y}{200}

Solve separable ODE:

y = - e^{\frac{- t - c _{1}}{200}} + 4

y = - e^{\frac{- t - c _{1}}{200}} + 4

Graph

Beliebte Beispiele

y^{^{'}} + 8 y^{3} = 0

(\frac{dy)/(dt)}{y-49}=-1/5

\frac{\frac{d y}{d t}}{y - 49} = - \frac{1}{5}

y^'(s)(-s^2-2s)-2sy(s)=0

y^{^{'}} (s) (- s^{2} - 2 s) - 2 sy (s) = 0

(dy)/(dx)y=(csc(x)-cot(x))^{-1}

\frac{d y}{d x} y = (csc (x) - cot (x))^{- 1}

y^{^{'}} + 36 y = 0