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Beliebt Rechnen >

y(1+x^2)y^'-x(4+y^2)=0

Lösung

y (1 + x^{2}) y^{^{'}} - x (4 + y^{2}) = 0

Lösung

y = e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 4, y = - e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 4

Schritte zur Lösung

y (1 + x^{2}) y^{'} (x) - x (4 + y^{2}) = 0

Solve separable ODE:

y = e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 4, y = - e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 4

y = e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 4, y = - e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 4

Graph

Beliebte Beispiele

y^'=(2xy^3)/(1-x^2y^2)

y^{^{'}} = \frac{2 x y ^{3}}{1 - x ^{2} y ^{2}}

f^{^{'}} (x) = - 3

limit as x approaches 0 of sqrt(7-x^2)

x \to 0 lim (7 - x^{2})

limit as x approaches infinity of-x^3

x \to \infty lim (- x^{3})

integral from 1 to 4 of x^2

\int_{1}^{4} x^{2} d x