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Beliebt Rechnen >

9y^{''}+18y^'+11y=0

Lösung

9 y^{^{''}} + 18 y^{^{'}} + 11 y = 0

Lösung

y = e^{- t} (c_{1} cos (\frac{2 t}{3}) + c_{2} sin (\frac{2 t}{3}))

Schritte zur Lösung

9 y^{''} (t) + 18 y^{'} (t) + 11 y = 0

Solve linear ODE:

y = e^{- t} (c_{1} cos (\frac{2 t}{3}) + c_{2} sin (\frac{2 t}{3}))

y = e^{- t} (c_{1} cos (\frac{2 t}{3}) + c_{2} sin (\frac{2 t}{3}))

Graph

Beliebte Beispiele

integral from 0 to-0.5 of 300x

\int_{0}^{- 0.5} 300 x d x

tangent x^2+4xy+y^2=13,(2,1)

t an g e n t x^{2} + 4 x y + y^{2} = 13, (2, 1)

integral of 2-(x^2)/2

\int 2 - \frac{x ^{2}}{2} d x

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x \to 1 lim ((x - 2) (x^{2} - 6 x))

derivative of (sin(x)^{x^3})

\frac{d}{d x} ((sin (x))^{x^{3}})