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Beliebt Rechnen >

36y^{''}+12y^'+y=0

Lösung

36 y^{^{''}} + 12 y^{^{'}} + y = 0

Lösung

y = c_{1} e^{- \frac{t}{6}} + c_{2} e^{- \frac{t}{6}} t

Schritte zur Lösung

36 y^{''} (t) + 12 y^{'} (t) + y = 0

Solve linear ODE:

y = c_{1} e^{- \frac{t}{6}} + c_{2} e^{- \frac{t}{6}} t

y = c_{1} e^{- \frac{t}{6}} + c_{2} e^{- \frac{t}{6}} t

Graph

Beliebte Beispiele

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y^{^{'''}} + 9 y^{^{'}} = 0

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\frac{d y}{d t} = y - 4 t + (y - 4 t)^{2} + 4