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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(e^y+1)cos(x)dx+e^ysin(x)dy=0

(e^{y} + 1) cos (x) d x + e^{y} sin (x) d y = 0

y*e^{-x}dx-e^{-x}dy=0

y \cdot e^{- x} d x - e^{- x} d y = 0

\frac{d y}{d x} - 2 y = 6

tan(x)sin^3(y)dx+sec^3(x)cos(y)dy=0

tan (x) sin^{3} (y) d x + sec^{3} (x) cos (y) d y = 0

y^'csc(t)=-(y^3)/2

y^{^{'}} csc (t) = - \frac{y ^{3}}{2}