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Beliebt Rechnen >

y^{''}-2y^'+y=2t-1-(6te^t+6e^t)

Lösung

y^{^{''}} - 2 y^{^{'}} + y = 2 t - 1 - (6 t e^{t} + 6 e^{t})

Lösung

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

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) + y = 2 t - 1 - (6 t e^{t} + 6 e^{t})

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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\int 19 tan^{3} (θ) d θ