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Beliebt Rechnen >

(1+x^2)dy+2xydx=0

Lösung

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

Lösung

y = \frac{c _{1}}{1 + x ^{2}}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{c _{1}}{1 + x ^{2}}

y = \frac{c _{1}}{1 + x ^{2}}

Graph

Beliebte Beispiele

3 y^{^{'}} = y

y^'= y/(sqrt(1-x^2))

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

(dy)/(dx)=7\sqrt[4]{xy}

\frac{d y}{d x} = 7 4 x y

(dy)/(dt)+sqrt([1+t^2])*e^{-t}y=0,y[0]=1

\frac{d y}{d t} + [1 + t^{2}] \cdot e^{- t} y = 0, y [0] = 1

(dz)/(dt)+e^{2t+2z}=0

\frac{d z}{d t} + e^{2 t + 2 z} = 0