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Beliebt Rechnen >

t(dy)/(dt)=t^3+20t^3y

Lösung

t \frac{d y}{d t} = t^{3} + 20 t^{3} y

Lösung

y = \frac{e ^{\frac{20 t ^{3} + c _{1}}{3}}}{20} - \frac{1}{20}

Schritte zur Lösung

t \frac{d y}{d t} = t^{3} + 20 t^{3} y

Solve separable ODE:

y = \frac{e ^{\frac{20 t ^{3} + c _{1}}{3}}}{20} - \frac{1}{20}

y = \frac{e ^{\frac{20 t ^{3} + c _{1}}{3}}}{20} - \frac{1}{20}

Graph

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