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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{a r c t a n (x) + c_{1}}

Schritte zur Lösung

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

Solve separable ODE:

y = e^{a r c t a n (x) + c_{1}}

y = e^{a r c t a n (x) + c_{1}}

Graph

Beliebte Beispiele

inverselaplace (16)/(s(s+2)^4)

in v erse l a pl a ce \frac{16}{s ( s + 2 ) ^{4}}

limit as x approaches infinity of (e^{-sx})/s

x \to \infty lim (\frac{e ^{- s x}}{s})

(dy)/(dx)y=(8x^2-16+16)e^x

\frac{d y}{d x} y = (8 x^{2} - 16 + 16) e^{x}

derivative (1+2x^2)(x-x^2)

d er i v a t i v e (1 + 2 x^{2}) (x - x^{2})

derivative (x^3+8x)^3

d er i v a t i v e (x^{3} + 8 x)^{3}