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Beliebt Rechnen >

x(y^2-1)dx-y(x^2-1)dy=0

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

sqrt(x)+sqrt(y)y^'=0,y(0)=9

x + y y^{^{'}} = 0, y (0) = 9

(2x-1)dx+(3y+7)dy=0,y(-1)=2

(2 x - 1) d x + (3 y + 7) d y = 0, y (- 1) = 2

e^ycos(x)+cos(x)+(e^ysin(x)+e^y)y^'=0

e^{y} cos (x) + cos (x) + (e^{y} sin (x) + e^{y}) y^{^{'}} = 0

(dy)/(dx)=x^3y^2

\frac{d y}{d x} = x^{3} y^{2}

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

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