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Beliebt Rechnen >

(d^2)/(dt^2)x+5 d/(dt)x+2x=0

Lösung

\frac{d ^{2}}{d t ^{2}} x + 5 \frac{d}{d t} x + 2 x = 0

Lösung

x = c_{1} e^{\frac{( - 5 + 17 ) t}{2}} + c_{2} e^{\frac{( - 5 - 17 ) t}{2}}

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} + 5 \frac{d x}{d t} + 2 x = 0

Solve linear ODE:

x = c_{1} e^{\frac{( - 5 + 17 ) t}{2}} + c_{2} e^{\frac{( - 5 - 17 ) t}{2}}

x = c_{1} e^{\frac{( - 5 + 17 ) t}{2}} + c_{2} e^{\frac{( - 5 - 17 ) t}{2}}

Graph

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