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Beliebt Rechnen >

5y^{''}+11y^'+7y=0,y(0)=8,y^'(0)=10

Lösung

5 y^{^{''}} + 11 y^{^{'}} + 7 y = 0, y (0) = 8, y^{^{'}} (0) = 10

Lösung

y = e^{- \frac{11 t}{10}} (8 cos (\frac{19 t}{10}) + \frac{188}{19} sin (\frac{19 t}{10}))

Schritte zur Lösung

5 y^{''} (t) + 11 y^{'} (t) + 7 y = 0

Solve linear ODE:

y = e^{- \frac{11 t}{10}} (8 cos (\frac{19 t}{10}) + \frac{188}{19} sin (\frac{19 t}{10}))

y = e^{- \frac{11 t}{10}} (8 cos (\frac{19 t}{10}) + \frac{188}{19} sin (\frac{19 t}{10}))

Graph

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