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Beliebt Rechnen >

(dP)/(dt)=8sqrt(Pt),P(1)=2

Lösung

\frac{d P}{d t} = 8 Pt, P (1) = 2

Lösung

P = \frac{64}{9} - \frac{16 2}{3} + \frac{64 t ^{3}}{9} - \frac{128 t ^{\frac{3}{2}}}{9} + \frac{16 2 t ^{\frac{3}{2}}}{3} + 2

Schritte zur Lösung

\frac{d P}{d t} = 8 Pt

Solve separable ODE:

P = \frac{64}{9} - \frac{16 2}{3} + \frac{64 t ^{3}}{9} - \frac{128 t ^{\frac{3}{2}}}{9} + \frac{16 2 t ^{\frac{3}{2}}}{3} + 2

P = \frac{64}{9} - \frac{16 2}{3} + \frac{64 t ^{3}}{9} - \frac{128 t ^{\frac{3}{2}}}{9} + \frac{16 2 t ^{\frac{3}{2}}}{3} + 2

Graph

Beliebte Beispiele

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