Practica ecuaciones

187002207

Examen

Uridad 2

dinamica de

Lew Calderon Olivia sistemas

to Xt=-2X4+1 +6, xo=5

- a=-2 b = 6 x + = axt+1+b

K = xo - i-a X == Katt ta

R = 5- 3 = 5-2 xt = K (-2) + + +- (-2)

k=3 x + = KG 2st +

X+= 3 (-2) + + 2 l 2. X++2-8 X++1-

20x+=6+5 - Xtert r2 -&rtr-20rt = oArt (r2-8r-20) = 0 +lr-10) (r + 2) = 0 09-10 Kg (10)*+ K262)* 5.6

X+,=? Sol particular fit) = 4+5

- Xtize -8X++e-20 Xin = 6 + 5

- Xte= At+3 X+ + 16 = A (HH) + B X 40 - At+ A+B X+16= At + A + B

Ati2A+B-8 (At+A+B)-20 (At+B=4+5

A = 24

- 27 At-6A-22B=t+ (-27 At= t

43

- 27 At-6A-27 B=6+51-6A-27B=5 AB7 2/2 - 278=5+ B = 243 Xth= Ke (10)t + Kz (-2) 1X+p= 2 2 2 2 2 24.455 X4= Ki (20t +ki -2) +-27 243

3. Xx+2+8X4+1+16X+= 0, X+(0)=0 X++1(8=4

4 rtr2+8 rtr + 160 t = 0 art(r2+8r+16)=0 (r + 4) (r + 4) = Tu Ki (-4) + +K 2 + (-4) t 5a.

X + 1 = Kit-4t (-4 t + Ket (-4) + (-4) + K2 (-4) + (-4) + X4+1 = -4K, (-4) + - 4K2 t 1-4) * 4 Kal-4 t +1A-S.a Xt0) = 0 Kt4) + K210) (-4) = 0 pk1=0

X to 10) = 44-460) (-4)= - 4ka (0) (-4)=-4 Kz 1-4 = 4 *-4 R2 = 4+ ka = 1

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