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Beliebt Rechnen >

(dy)/(dx)=6x(y-1)^{2/3}

Lösung

\frac{d y}{d x} = 6 x (y - 1)^{\frac{2}{3}}

Lösung

y = x^{6} + c_{1} x^{4} + \frac{c _{1}^{2} x ^{2}}{3} + \frac{c _{1}^{3}}{27} + 1

Schritte zur Lösung

\frac{d y}{d x} = 6 x (y - 1)^{\frac{2}{3}}

Solve separable ODE:

y = x^{6} + c_{1} x^{4} + \frac{c _{1}^{2} x ^{2}}{3} + \frac{c _{1}^{3}}{27} + 1

y = x^{6} + c_{1} x^{4} + \frac{c _{1}^{2} x ^{2}}{3} + \frac{c _{1}^{3}}{27} + 1

Graph

Beliebte Beispiele

integral of (x^3-6x-20)/(x+5)

\int \frac{x ^{3} - 6 x - 20}{x + 5} d x

derivative tsin(pi)t

d er i v a t i v e t sin (π) t

limit as x approaches 3 of sqrt(x^2-5)

x \to 3 lim (x^{2} - 5)

y^'=((x+3y))/(2x)

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

derivative f(x)=θcos(θ)

d er i v a t i v e f (x) = θ cos (θ)