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Beliebt Rechnen >

(1+x^2)((dy)/(dx))-2xy=0

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

integral from pi/2 to pi of x-sin(x)

\int_{\frac{π}{2}}^{π} x - sin (x) d x

(dy)/(dx)=(3x)/(4y)

\frac{d y}{d x} = \frac{3 x}{4 y}

derivative sec(3sin(2x))

d er i v a t i v e sec (3 sin (2 x))

limit as x approaches 0 of e^x-1

x \to 0 lim (e^{x} - 1)

slopeintercept (-3,-7),(2,3)

s l o p e in t erce pt (- 3, - 7), (2, 3)