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Beliebt Rechnen >

y^{''}-2y^'+y=12te^t+2e^t+t-4

Lösung

y^{^{''}} - 2 y^{^{'}} + y = 12 t e^{t} + 2 e^{t} + t - 4

Lösung

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

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) + y = 12 t e^{t} + 2 e^{t} + t - 4

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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x \to - 6 lim (36 - x^{2})

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\int cos (3 x) cos (x) d x

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n = 1 \sum \infty \frac{1}{4 n}

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d er i v a t i v e (t - 2)^{2}