y^{''}+1.5y^'+0.037y=0,y(0)=2,y^'(0)=1

Lösung

y^{^{''}} + 1.5 y^{^{'}} + 0.037 y = 0, y (0) = 2, y^{^{'}} (0) = 1

y = (2 + \frac{125 - 5255}{5255}) e^{\frac{( - 75 + 5255 ) t}{100}} - \frac{125 - 5255}{5255} e^{- \frac{( 75 + 5255 ) t}{100}}

Schritte zur Lösung

y^{''} (t) + 1.5 y^{'} (t) + 0.037 y = 0

Solve linear ODE:

y = (2 + \frac{125 - 5255}{5255}) e^{\frac{( - 75 + 5255 ) t}{100}} - \frac{125 - 5255}{5255} e^{- \frac{( 75 + 5255 ) t}{100}}

y = (2 + \frac{125 - 5255}{5255}) e^{\frac{( - 75 + 5255 ) t}{100}} - \frac{125 - 5255}{5255} e^{- \frac{( 75 + 5255 ) t}{100}}

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