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Beliebt Rechnen >

y^{''}-6y^'+18y=0

Lösung

y^{^{''}} - 6 y^{^{'}} + 18 y = 0

Lösung

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

Schritte zur Lösung

y^{''} (t) - 6 y^{'} (t) + 18 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

integral of (3x+4)^{5/2}

\int (3 x + 4)^{\frac{5}{2}} d x

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d er i v a t i v e 1 + x

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x \to 0 + lim (x^{2} e^{\frac{1}{x}})

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\frac{d}{d x} (2 e^{- 2 x} + \frac{1}{3} e^{x})

derivative of 6^{x^2-3}

\frac{d}{d x} (6^{x^{2} - 3})