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Beliebt Rechnen >

y(1+x^2)y^'=x(1+y^2)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

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