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Beliebt Rechnen >

(dy)/(dx)= 1/2 (y-1)^2,y(0)=2

Lösung

\frac{d y}{d x} = \frac{1}{2} (y - 1)^{2}, y (0) = 2

Lösung

y = \frac{x}{x - 2} - \frac{4}{x - 2}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{x}{x - 2} - \frac{4}{x - 2}

y = \frac{x}{x - 2} - \frac{4}{x - 2}

Graph

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\int_{0}^{t} x d x