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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{- \frac{t ^{3}}{3} + c_{1}} - 1, y = - e^{- \frac{t ^{3}}{3} + c_{1}} - 1

Schritte zur Lösung

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

Solve separable ODE:

y = e^{- \frac{t ^{3}}{3} + c_{1}} - 1, y = - e^{- \frac{t ^{3}}{3} + c_{1}} - 1

y = e^{- \frac{t ^{3}}{3} + c_{1}} - 1, y = - e^{- \frac{t ^{3}}{3} + c_{1}} - 1

Graph

Beliebte Beispiele

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

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

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