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Beliebt Rechnen >

3(1+t^2)(dy)/(dt)=2ty(y^3-1)

Lösung

3 (1 + t^{2}) \frac{d y}{d t} = 2 t y (y^{3} - 1)

Lösung

y = 3 \frac{1}{1 - t ^{2} e ^{3 c_{1}} - e ^{3 c_{1}}}

Schritte zur Lösung

3 (1 + t^{2}) \frac{d y}{d t} = 2 t y (y^{3} - 1)

Solve separable ODE:

y = 3 \frac{1}{1 - t ^{2} e ^{3 c_{1}} - e ^{3 c_{1}}}

y = 3 \frac{1}{1 - t ^{2} e ^{3 c_{1}} - e ^{3 c_{1}}}

Graph

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