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Beliebt Rechnen >

y^'=\sqrt[3]{t}\sqrt[3]{y^2}

Lösung

y^{^{'}} = 3 t 3 y^{2}

Lösung

y = \frac{t ^{4}}{64} + \frac{c _{1} t ^{\frac{8}{3}}}{16} + \frac{c _{1}^{2} t ^{\frac{4}{3}}}{12} + \frac{c _{1}^{3}}{27}

Schritte zur Lösung

y^{'} (t) = 3 t 3 y^{2}

Solve separable ODE:

y = \frac{t ^{4}}{64} + \frac{c _{1} t ^{\frac{8}{3}}}{16} + \frac{c _{1}^{2} t ^{\frac{4}{3}}}{12} + \frac{c _{1}^{3}}{27}

y = \frac{t ^{4}}{64} + \frac{c _{1} t ^{\frac{8}{3}}}{16} + \frac{c _{1}^{2} t ^{\frac{4}{3}}}{12} + \frac{c _{1}^{3}}{27}

Graph

Beliebte Beispiele

(dy)/(dx)=3x^2y^2,y!=0

\frac{d y}{d x} = 3 x^{2} y^{2}, y! = 0

y^{^{'}} + x \cdot y = x \cdot y^{2}

(dy)/(dx)=3x^2(-2y+3)

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

f^{^{'}} (x) - 2 f (x) = 0

y(81-x^2)^{1/2}dy=(81+y^2)^{1/2}dx

y (81 - x^{2})^{\frac{1}{2}} d y = (81 + y^{2})^{\frac{1}{2}} d x