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Beliebt Rechnen >

(dy)/(dx)+y/(x(x+1))=x+1

Lösung

\frac{d y}{d x} + \frac{y}{x ( x + 1 )} = x + 1

Lösung

y = \frac{c _{1} ( x + 1 )}{x} - \frac{x + 1}{2 x} + \frac{x ( x + 1 )}{2}

Schritte zur Lösung

\frac{d y}{d x} + \frac{y}{x ( x + 1 )} = x + 1

Solve linear ODE:

y = \frac{c _{1} ( x + 1 )}{x} - \frac{x + 1}{2 x} + \frac{x ( x + 1 )}{2}

y = \frac{c _{1} ( x + 1 )}{x} - \frac{x + 1}{2 x} + \frac{x ( x + 1 )}{2}

Graph

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