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Beliebt Rechnen >

(x^2+1)dx+(dy)/y =0,y(-1)=1

Lösung

(x^{2} + 1) d x + \frac{d y}{y} = 0, y (- 1) = 1

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

derivative ((3+2x))/((1+x))

d er i v a t i v e \frac{( 3 + 2 x )}{( 1 + x )}

integral of cos^2(θ)sin(θ)

\int cos^{2} (θ) sin (θ) d θ

integral of xe^{(x^2)}

\int x e^{(x^{2})} d x

integral from-1 to 1 of (2x)/((x+5)^2)

\int_{- 1}^{1} \frac{2 x}{( x + 5 ) ^{2}} d x

limit as x approaches 0-of 0

x \to 0 - lim (0)