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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{c_{1}} x^{2} - 2 e^{c_{1}} x + e^{c_{1}} + 1

Schritte zur Lösung

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

Solve separable ODE:

y = e^{c_{1}} x^{2} - 2 e^{c_{1}} x + e^{c_{1}} + 1

y = e^{c_{1}} x^{2} - 2 e^{c_{1}} x + e^{c_{1}} + 1

Graph

Beliebte Beispiele

(dy)/(dt)+2y=0,y(0)=3

\frac{d y}{d t} + 2 y = 0, y (0) = 3

(dy)/(dx)+6x^2y=5x^2,y(0)=4

\frac{d y}{d x} + 6 x^{2} y = 5 x^{2}, y (0) = 4

y^{^{'}} = x y - 2 x + y - 2

(dy)/(dx)=(x+1)/(e^y),y(0)=2

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

y^'= 2/3 xsqrt(1-9y^2),y(0)=0

y^{^{'}} = \frac{2}{3} x 1 - 9 y^{2}, y (0) = 0