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Beliebt Rechnen >

(dy)/(dx)=y^{1/3}

Lösung

\frac{d y}{d x} = y^{\frac{1}{3}}

Lösung

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

Schritte zur Lösung

\frac{d y}{d x} = y^{\frac{1}{3}}

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

tangent sqrt(x^2+11),\at x=5

t an g e n t x^{2} + 11, at x = 5

derivative t^{sqrt(13t)}

d er i v a t i v e t^{13 t}

derivative of sec(5x+1)

\frac{d}{d x} (sec (5 x) + 1)

derivative f(x)=4x^{5/4}+4x^{3/2}+8x

d er i v a t i v e f (x) = 4 x^{\frac{5}{4}} + 4 x^{\frac{3}{2}} + 8 x

(x-1)^3(dy)/(dx)+4(x-1)^2y=x+1

(x - 1)^{3} \frac{d y}{d x} + 4 (x - 1)^{2} y = x + 1