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Beliebt Rechnen >

(dy)/(dx)=(y-1)^2

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

\frac{d y}{d t} = 6 y^{2}

tangent f(x)=ln(x)

t an g e n t f (x) = ln (x)

derivative f(x)=4x+1

d er i v a t i v e f (x) = 4 x + 1

limit as x approaches 0-of x^2(sin(1/x))

x \to 0 - lim (x^{2} (sin (\frac{1}{x})))

derivative of (2x+1/(x+5))

\frac{d}{d x} (\frac{2 x + 1}{x + 5})