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Beliebt Rechnen >

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

Lösung

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

Lösung

y = \frac{2 ln ( 1 + t ^{3} ) + c _{1}}{3}, y = - \frac{2 ln ( 1 + t ^{3} ) + c _{1}}{3}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{2 ln ( 1 + t ^{3} ) + c _{1}}{3}, y = - \frac{2 ln ( 1 + t ^{3} ) + c _{1}}{3}

y = \frac{2 ln ( 1 + t ^{3} ) + c _{1}}{3}, y = - \frac{2 ln ( 1 + t ^{3} ) + c _{1}}{3}

Graph

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