(dh)/(dt)=-h^{1/3}

Lösung

\frac{d h}{d t} = - h^{\frac{1}{3}}

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

Solve separable ODE:

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

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

\int (x^{2})^{23} d (x^{2})^{2}

d er i v a t i v e x e^{e}

d er i v a t i v e y = - 2 x

d er i v a t i v e 5 e^{- x^{2}}

\int (\frac{2 z - 5}{7}) d z