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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(y^2+3)dx=ysec^2(x)dy

(y^{2} + 3) d x = y sec^{2} (x) d y

(x^3+x^3)dx=xy^2dy

(x^{3} + x^{3}) d x = x y^{2} d y

y^'-a*e^{-b*y}=0

y^{^{'}} - a \cdot e^{- b \cdot y} = 0

\frac{d v}{d t} = 1 - 3 v

(dy)/(dx)=((15x^2-6x+2))/(((y+2)))

\frac{d y}{d x} = \frac{( 15 x ^{2} - 6 x + 2 )}{( ( y + 2 ) )}