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Beliebt Rechnen >

y^{''}+4y^'+13y=0

Lösung

y^{^{''}} + 4 y^{^{'}} + 13 y = 0

Lösung

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

Schritte zur Lösung

y^{''} (t) + 4 y^{'} (t) + 13 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

fläche f(x)=2x-4,3,6

a re a f (x) = 2 x - 4, 3, 6

derivative of 20x^{12/5}-6x^{2/13}

\frac{d}{d x} (20 x^{\frac{12}{5}} - 6 x^{\frac{2}{13}})

inverselaplace (s+3)/((s+3)^2+25)

in v erse l a pl a ce \frac{s + 3}{( s + 3 ) ^{2} + 25}

integral of sec^3(6x)

\int sec^{3} (6 x) d x

fläche-x,x,-2x+6

a re a - x, x, - 2 x + 6