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Beliebt Rechnen >

y^{''}+2y^'+y=(-18.5e^{-t})/(t^2+1)

Lösung

y^{^{''}} + 2 y^{^{'}} + y = \frac{- 18.5 e ^{- t}}{t ^{2} + 1}

Lösung

y = c_{1} e^{- t} + c_{2} t e^{- t} + 9.25 e^{- t} ln (t^{2} + 1) - 18.5 e^{- t} t arctan (t)

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) + y = \frac{- 18.5 e ^{- t}}{t ^{2} + 1}

Solve linear ODE:

y = c_{1} e^{- t} + c_{2} t e^{- t} + 9.25 e^{- t} ln (t^{2} + 1) - 18.5 e^{- t} t arctan (t)

y = c_{1} e^{- t} + c_{2} t e^{- t} + 9.25 e^{- t} ln (t^{2} + 1) - 18.5 e^{- t} t arctan (t)

Graph

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