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Beliebt Rechnen >

y^{''}+4y^'+11y=0

Lösung

y^{^{''}} + 4 y^{^{'}} + 11 y = 0

Lösung

y = e^{- 2 t} (c_{1} cos (7 t) + c_{2} sin (7 t))

Schritte zur Lösung

y^{''} (t) + 4 y^{'} (t) + 11 y = 0

Solve linear ODE:

y = e^{- 2 t} (c_{1} cos (7 t) + c_{2} sin (7 t))

y = e^{- 2 t} (c_{1} cos (7 t) + c_{2} sin (7 t))

Graph

Beliebte Beispiele

derivative of ((0.9-0.4x)/x)

\frac{d}{d x} (\frac{( 0.9 - 0.4 x )}{x})

integral of xcos(kx)

\int x cos (k x) d x

derivative y=sqrt(2x-1/2)

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

integral of 5x^{-2}

\int 5 x^{- 2} d x

tangent f(x)= 2/(x+1),\at x=-3

t an g e n t f (x) = \frac{2}{x + 1}, at x = - 3