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Beliebt Rechnen >

y^{''}+2y^'+17y=0

Lösung

y^{^{''}} + 2 y^{^{'}} + 17 y = 0

Lösung

y = e^{- t} (c_{1} cos (4 t) + c_{2} sin (4 t))

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) + 17 y = 0

Solve linear ODE:

y = e^{- t} (c_{1} cos (4 t) + c_{2} sin (4 t))

y = e^{- t} (c_{1} cos (4 t) + c_{2} sin (4 t))

Graph

Beliebte Beispiele

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\frac{d}{d x} (\frac{1}{x ^{2} + 9})

integral of (5x^2)/(x^2+7)

\int \frac{5 x ^{2}}{x ^{2} + 7} d x

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\int sin^{3} (a x) d x

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