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Beliebt Rechnen >

y^{''}+2y^'+2y=0,y(0)=1,y^'(0)=0

Lösung

y^{^{''}} + 2 y^{^{'}} + 2 y = 0, y (0) = 1, y^{^{'}} (0) = 0

Lösung

y = e^{- t} (cos (t) + sin (t))

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) + 2 y = 0

Solve linear ODE:

y = e^{- t} (cos (t) + sin (t))

y = e^{- t} (cos (t) + sin (t))

Graph

Beliebte Beispiele

laplacetransform 2t^2-2t+1

l a pl a ce t r an s f or m 2 t^{2} - 2 t + 1

derivative f(x)=e^{-x+1}x-2e^{-x+1}

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

derivative of sqrt(1+sin(2x))

\frac{d}{d x} (1 + sin (2 x))

derivative ln(x+sqrt(1+x^2))

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

limit as x approaches infinity of (256^{x/2})/(4^{2x)}

x \to \infty lim (\frac{25 6 ^{\frac{x}{2}}}{4 ^{2 x}})