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Beliebt Rechnen >

x(dy)/(dx)+(2x+1)/(x+1)y=x-1

Lösung

x \frac{d y}{d x} + \frac{2 x + 1}{x + 1} y = x - 1

Lösung

y = \frac{x ^{2}}{3 ( x + 1 )} - \frac{1}{x + 1} + \frac{c _{1}}{x ^{2} + x}

Schritte zur Lösung

x \frac{d y}{d x} + \frac{2 x + 1}{x + 1} y = x - 1

Solve linear ODE:

y = \frac{x ^{2}}{3 ( x + 1 )} - \frac{1}{x + 1} + \frac{c _{1}}{x ^{2} + x}

y = \frac{x ^{2}}{3 ( x + 1 )} - \frac{1}{x + 1} + \frac{c _{1}}{x ^{2} + x}

Graph

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