(dy)/(dt)=-\sqrt[3]{y}

Lösung

\frac{d y}{d t} = - 3 y

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

Schritte zur Lösung

\frac{d y}{d t} = - 3 y

Solve separable ODE:

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

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

\frac{d y}{d x} = x x - 27

\frac{d}{d x} (5 cot (\frac{2}{x}))

in v erse l a pl a ce \frac{8}{3 s ^{2} + 12} + \frac{3}{s ^{2} - 49}

\int 1 + 64 x^{2} d x

\int e^{2} cos (x) d x