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Beliebt Rechnen >

x^{''}+x^'+2x=0

Lösung

x^{^{''}} + x^{^{'}} + 2 x = 0

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(dy)/(dx)=2y(3-y)

\frac{d y}{d x} = 2 y (3 - y)

derivative y=5arctan(x-sqrt(1+x^2))

d er i v a t i v e y = 5 arctan (x - 1 + x^{2})

integral of 1/(y^2-3y)

\int \frac{1}{y ^{2} - 3 y} d y

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a re a y = - x + 4, y = \frac{x ^{2}}{3}

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\frac{d}{d x} (csc^{2} (x) - 4)