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Beliebt Rechnen >

49y^{''}+140y^'+100y=0

Lösung

49 y^{^{''}} + 140 y^{^{'}} + 100 y = 0

Lösung

y = c_{1} e^{- \frac{10 t}{7}} + c_{2} e^{- \frac{10 t}{7}} t

Schritte zur Lösung

49 y^{''} (t) + 140 y^{'} (t) + 100 y = 0

Solve linear ODE:

y = c_{1} e^{- \frac{10 t}{7}} + c_{2} e^{- \frac{10 t}{7}} t

y = c_{1} e^{- \frac{10 t}{7}} + c_{2} e^{- \frac{10 t}{7}} t

Graph

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