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Beliebt Rechnen >

y^{''}+4y=e^{-x}(7-4x+5x^2)

Lösung

y^{^{''}} + 4 y = e^{- x} (7 - 4 x + 5 x^{2})

Lösung

y = c_{1} cos (2 x) + c_{2} sin (2 x) + e^{- x} x^{2} + e^{- x}

Schritte zur Lösung

y^{''} (x) + 4 y = e^{- x} (7 - 4 x + 5 x^{2})

Solve linear ODE:

y = c_{1} cos (2 x) + c_{2} sin (2 x) + e^{- x} x^{2} + e^{- x}

y = c_{1} cos (2 x) + c_{2} sin (2 x) + e^{- x} x^{2} + e^{- x}

Graph

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