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Beliebt Rechnen >

y^{''}+6y^'+9y=3e^{-3t}

Lösung

y^{^{''}} + 6 y^{^{'}} + 9 y = 3 e^{- 3 t}

Lösung

y = c_{1} e^{- 3 t} + c_{2} t e^{- 3 t} + \frac{3 e ^{- 3 t} t ^{2}}{2}

Schritte zur Lösung

y^{''} (t) + 6 y^{'} (t) + 9 y = 3 e^{- 3 t}

Solve linear ODE:

y = c_{1} e^{- 3 t} + c_{2} t e^{- 3 t} + \frac{3 e ^{- 3 t} t ^{2}}{2}

y = c_{1} e^{- 3 t} + c_{2} t e^{- 3 t} + \frac{3 e ^{- 3 t} t ^{2}}{2}

Graph

Beliebte Beispiele

(dy)/(dx)+y/x =1

\frac{d y}{d x} + \frac{y}{x} = 1

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n = 1 \sum \infty \frac{n + 4}{n ^{2}}

y^{^{''}} + 16 y = 0