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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{c_{1}} x + e^{c_{1}} - 1

Schritte zur Lösung

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

Solve separable ODE:

y = e^{c_{1}} x + e^{c_{1}} - 1

y = e^{c_{1}} x + e^{c_{1}} - 1

Graph

Beliebte Beispiele

(dx)/(dt)=80-x/(100),x=4000,t=0

\frac{d x}{d t} = 80 - \frac{x}{100}, x = 4000, t = 0

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

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

(dy)/(dt)=(3t^2+4t+2)/(2(y-1))

\frac{d y}{d t} = \frac{3 t ^{2} + 4 t + 2}{2 ( y - 1 )}

2y+3+(2x-4)y^'=0

2 y + 3 + (2 x - 4) y^{^{'}} = 0

\frac{d y}{d t} = - 7 y