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Beliebt Rechnen >

(1+x^2)y^'-2x(y+3)=0

Lösung

(1 + x^{2}) y^{^{'}} - 2 x (y + 3) = 0

Lösung

y = e^{c_{1}} + e^{c_{1}} x^{2} - 3

Schritte zur Lösung

(1 + x^{2}) y^{'} (x) - 2 x (y + 3) = 0

Solve separable ODE:

y = e^{c_{1}} + e^{c_{1}} x^{2} - 3

y = e^{c_{1}} + e^{c_{1}} x^{2} - 3

Graph

Beliebte Beispiele

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

(dx)/(dt)=14-0.28*x

\frac{d x}{d t} = 14 - 0.28 \cdot x

(dy)/(dt)=(3t^2)/(8y)

\frac{d y}{d t} = \frac{3 t ^{2}}{8 y}

y^'=(8x-5)(y+2)

y^{^{'}} = (8 x - 5) (y + 2)

(e^y+1)^2e^{-y}dx+(e^x+1)^2e^{-x}dy=0

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