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Beliebt Rechnen >

y^{''}+1.5y^'+0.37y=0,y(0)=2,y^'(0)=1

Lösung

y^{^{''}} + 1.5 y^{^{'}} + 0.37 y = 0, y (0) = 2, y^{^{'}} (0) = 1

Lösung

y = (2 + \frac{25 - 77}{77}) e^{\frac{( - 15 + 77 ) t}{20}} - \frac{25 - 77}{77} e^{- \frac{( 15 + 77 ) t}{20}}

Schritte zur Lösung

y^{''} (t) + 1.5 y^{'} (t) + 0.37 y = 0

Solve linear ODE:

y = (2 + \frac{25 - 77}{77}) e^{\frac{( - 15 + 77 ) t}{20}} - \frac{25 - 77}{77} e^{- \frac{( 15 + 77 ) t}{20}}

y = (2 + \frac{25 - 77}{77}) e^{\frac{( - 15 + 77 ) t}{20}} - \frac{25 - 77}{77} e^{- \frac{( 15 + 77 ) t}{20}}

Graph

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