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Beliebt Rechnen >

(dP)/(dt)=5sqrt(Pt)

Lösung

\frac{d P}{d t} = 5 Pt

Lösung

P = \frac{25 t ^{3}}{9} + \frac{5 c _{1} t ^{\frac{3}{2}}}{3} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

\frac{d P}{d t} = 5 Pt

Solve separable ODE:

P = \frac{25 t ^{3}}{9} + \frac{5 c _{1} t ^{\frac{3}{2}}}{3} + \frac{c _{1}^{2}}{4}

P = \frac{25 t ^{3}}{9} + \frac{5 c _{1} t ^{\frac{3}{2}}}{3} + \frac{c _{1}^{2}}{4}

Graph

Beliebte Beispiele

derivative of (3x+1(2x+6))

\frac{d}{d x} ((3 x + 1) (2 x + 6))

integral of x^3e^{x^2+1}

\int x^{3} e^{x^{2} + 1} d x

derivative of 2ln(xy)

\frac{d}{d x} (2 ln (x y))

integral of-x^0

\int - x^{0} d x

inverselaplace (0.2)/((10s^3+s^2))

in v erse l a pl a ce \frac{0.2}{( 10 s ^{3} + s ^{2} )}