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Beliebt Rechnen >

y(1+x^2)y^'-x(9+y^2)=0

Lösung

y (1 + x^{2}) y^{^{'}} - x (9 + y^{2}) = 0

Lösung

y = e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 9, y = - e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 9

Schritte zur Lösung

y (1 + x^{2}) y^{'} (x) - x (9 + y^{2}) = 0

Solve separable ODE:

y = e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 9, y = - e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 9

y = e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 9, y = - e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 9

Graph

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