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Beliebt Rechnen >

(dh)/(dt)=-3/100 sqrt(h-20)

Lösung

\frac{d h}{d t} = - \frac{3}{100} h - 20

Lösung

h = \frac{9 t ^{2} + 9 c _{1}^{2}}{40000} + \frac{9 c _{1} t}{20000} + 20

Schritte zur Lösung

\frac{d h}{d t} = - \frac{3}{100} h - 20

Solve separable ODE:

h = \frac{9 t ^{2} + 9 c _{1}^{2}}{40000} + \frac{9 c _{1} t}{20000} + 20

h = \frac{9 t ^{2} + 9 c _{1}^{2}}{40000} + \frac{9 c _{1} t}{20000} + 20

Graph

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