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Beliebt Rechnen >

y^{'''}=e^{-0.2x}

Lösung

y^{^{'''}} = e^{- 0.2 x}

Lösung

y = - 125 e^{- 0.2 x} + 0.5 c_{1} x^{2} + c_{2} x + c_{3}

Schritte zur Lösung

y^{'''} (x) = e^{- 0.2 x}

Löse

y^{'''} (x) = e^{- 0.2 x} : y^{''} (x) = - 5 e^{- 0.2 x} + c_{1}

Löse

y^{''} (x) = - 5 e^{- 0.2 x} + c_{1} : y^{'} (x) = 25 e^{- 0.2 x} + c_{1} x + c_{2}

Löse

y^{'} (x) = 25 e^{- 0.2 x} + c_{1} x + c_{2} : y = - 125 e^{- 0.2 x} + 0.5 c_{1} x^{2} + c_{2} x + c_{3}

y = - 125 e^{- 0.2 x} + 0.5 c_{1} x^{2} + c_{2} x + c_{3}

Graph

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