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Beliebt Rechnen >

(x^2+C)dx+xydy=0

Lösung

(x^{2} + C) d x + x y d y = 0

Lösung

y = - x^{2} - 2 C ln (x) + c_{1}, y = - - x^{2} - 2 C ln (x) + c_{1}

Schritte zur Lösung

(x^{2} + C) d x + x y d y = 0

Solve separable ODE:

y = - x^{2} - 2 C ln (x) + c_{1}, y = - - x^{2} - 2 C ln (x) + c_{1}

y = - x^{2} - 2 C ln (x) + c_{1}, y = - - x^{2} - 2 C ln (x) + c_{1}

Graph

Beliebte Beispiele

x^{^{'}} = 3 x^{\frac{2}{3}}

(dy}{dx}=\frac{2x^4)/y

\frac{d y}{d x} = \frac{2 x ^{4}}{y}

(dy)/(dx)-cos(x)y=cos(x)

\frac{d y}{d x} - cos (x) y = cos (x)

y^'=-y^2+15y-50

y^{^{'}} = - y^{2} + 15 y - 50

(dy)/(dx)=((yx+3x-y-3))/(xy-2x+4y-8)

\frac{d y}{d x} = \frac{( y x + 3 x - y - 3 )}{x y - 2 x + 4 y - 8}