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Beliebt Rechnen >

y^{''}-3y^'-10y=54e^{7t}

Lösung

y^{^{''}} - 3 y^{^{'}} - 10 y = 54 e^{7 t}

Lösung

y = c_{1} e^{5 t} + c_{2} e^{- 2 t} + 3 e^{7 t}

Schritte zur Lösung

y^{''} (t) - 3 y^{'} (t) - 10 y = 54 e^{7 t}

Solve linear ODE:

y = c_{1} e^{5 t} + c_{2} e^{- 2 t} + 3 e^{7 t}

y = c_{1} e^{5 t} + c_{2} e^{- 2 t} + 3 e^{7 t}

Graph

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y^{'''}-9y^{''}+27y^'-27y=e^{3x}

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