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Beliebt Rechnen >

(dP)/(dt)=7sqrt(Pt)

Lösung

\frac{d P}{d t} = 7 Pt

Lösung

P = \frac{49 t ^{3}}{9} + \frac{7 c _{1} t ^{\frac{3}{2}}}{3} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

\frac{d P}{d t} = 7 Pt

Solve separable ODE:

P = \frac{49 t ^{3}}{9} + \frac{7 c _{1} t ^{\frac{3}{2}}}{3} + \frac{c _{1}^{2}}{4}

P = \frac{49 t ^{3}}{9} + \frac{7 c _{1} t ^{\frac{3}{2}}}{3} + \frac{c _{1}^{2}}{4}

Graph

Beliebte Beispiele

2 x y = \frac{d y}{d x}

y^'(x)=(15+3x^2)/(3y^2-12y),y(0)=2

y^{^{'}} (x) = \frac{15 + 3 x ^{2}}{3 y ^{2} - 12 y}, y (0) = 2

y^{^{'}} - 2 t y = 0

(dy)/(dx)= 1/5 sqrt(y)cos^2(sqrt(y))

\frac{d y}{d x} = \frac{1}{5} y cos^{2} (y)

(dp)/(dx)=k(a-p)

\frac{d p}{d x} = k (a - p)