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Beliebt Rechnen >

((dx)/(dy))=k(a-x)(a-x)

Lösung

(\frac{d x}{d y}) = k (a - x) (a - x)

Lösung

x = - \frac{1}{k y + c _{1}} + \frac{ka y}{k y + c _{1}} + \frac{c _{1} a}{k y + c _{1}}

Schritte zur Lösung

(\frac{d x}{d y}) = k (a - x) (a - x)

Solve separable ODE:

x = - \frac{1}{k y + c _{1}} + \frac{ka y}{k y + c _{1}} + \frac{c _{1} a}{k y + c _{1}}

x = - \frac{1}{k y + c _{1}} + \frac{ka y}{k y + c _{1}} + \frac{c _{1} a}{k y + c _{1}}

Graph

Beliebte Beispiele

derivative 1/(12x)

d er i v a t i v e \frac{1}{12 x}

derivative of 5x-x^{-1/3}-1

\frac{d}{d x} (5 x - x^{- \frac{1}{3}} - 1)

integral of x^2sec(x^3-1)

\int x^{2} sec (x^{3} - 1) d x

derivative of \sqrt[3]{(2-3x^2})

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

derivative of ((x-2)/((x+3)^2))

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