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Beliebt Rechnen >

y^{''}+11y^'+18y=0,y(0)=1,y^'(0)=0

Lösung

y^{^{''}} + 11 y^{^{'}} + 18 y = 0, y (0) = 1, y^{^{'}} (0) = 0

Lösung

y = (1 + \frac{2}{7}) e^{- 2 t} - \frac{2}{7} e^{- 9 t}

Schritte zur Lösung

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

Solve linear ODE:

y = (1 + \frac{2}{7}) e^{- 2 t} - \frac{2}{7} e^{- 9 t}

y = (1 + \frac{2}{7}) e^{- 2 t} - \frac{2}{7} e^{- 9 t}

Graph

Beliebte Beispiele

derivative of 6x^2+6x-36

\frac{d}{d x} (6 x^{2} + 6 x - 36)

(x^{\frac{1}{2}})^{^{'}}

derivative of 4arctan(x)

\frac{d}{d x} (4 arctan (x))

x^2y^{''}-7xy^'+15y=0

x^{2} y^{^{''}} - 7 x y^{^{'}} + 15 y = 0

integral of 10xe^{0.1x^2}

\int 10 x e^{0.1 x^{2}} d x