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Beliebt Rechnen >

y(pdp)/(dy)-(p)^2+p=0

Lösung

y \frac{p d p}{d y} - (p)^{2} + p = 0

Lösung

p = c_{1} y + 1

Schritte zur Lösung

y \frac{p d p}{d y} - p^{2} + p = 0

Solve separable ODE:

p = c_{1} y + 1

p = c_{1} y + 1

Graph

Beliebte Beispiele

2(dy)/(dx)=(xe^{-y})/(sqrt(x^2+3))

2 \frac{d y}{d x} = \frac{x e ^{- y}}{x ^{2} + 3}

t^2(1+y^2)+2y(dy)/(dt)=0

t^{2} (1 + y^{2}) + 2 y \frac{d y}{d t} = 0

(dP)/(dt)=0.05P-0.00125P(t)^2

\frac{d P}{d t} = 0.05 P - 0.00125 P (t)^{2}

ye^{3x}dx=(9-e^{3x})dy

y e^{3 x} d x = (9 - e^{3 x}) d y

5(dv)/(dx)+2v=3

5 \frac{d v}{d x} + 2 v = 3