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Beliebt Rechnen >

v(dv)/(dx)=9.8-0.002v^2

Lösung

v \frac{d v}{d x} = 9.8 - 0.002 v^{2}

Lösung

v = 10 - 5 e^{\frac{- c _{1} - x}{250}} + 49, v = - 10 - 5 e^{\frac{- c _{1} - x}{250}} + 49

Schritte zur Lösung

v \frac{d v}{d x} = 9.8 - 0.002 v^{2}

Solve separable ODE:

v = 10 - 5 e^{\frac{- c _{1} - x}{250}} + 49, v = - 10 - 5 e^{\frac{- c _{1} - x}{250}} + 49

v = 10 - 5 e^{\frac{- c _{1} - x}{250}} + 49, v = - 10 - 5 e^{\frac{- c _{1} - x}{250}} + 49

Graph

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