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Beliebt Rechnen >

y^'=3\sqrt[3]{y^2}

Lösung

y^{^{'}} = 3 3 y^{2}

Lösung

y = t^{3} + c_{1} t^{2} + \frac{c _{1}^{2} t}{3} + \frac{c _{1}^{3}}{27}

Schritte zur Lösung

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

Solve separable ODE:

y = t^{3} + c_{1} t^{2} + \frac{c _{1}^{2} t}{3} + \frac{c _{1}^{3}}{27}

y = t^{3} + c_{1} t^{2} + \frac{c _{1}^{2} t}{3} + \frac{c _{1}^{3}}{27}

Graph

Beliebte Beispiele

derivative f(x)=xln(x^2)

d er i v a t i v e f (x) = x ln (x^{2})

steigung (-2,-4),(-3,-3)

s l o p e (- 2, - 4), (- 3, - 3)

(\partial)/(\partial x)(e^xx)

\frac{\partial}{\partial x} (e^{x} x)

(\partial)/(\partial y)(-1/y)

\frac{\partial}{\partial y} (- \frac{1}{y})

(dy)/(dt)=y(1-0.0002y)

\frac{d y}{d t} = y (1 - 0.0002 y)