Automatas
Páginas: 3 (623 palabras)
Publicado: 21 de agosto de 2012
EJERCICIOS 1
X1(t)= L2*((2*(cosh((13^(1/2)*t)/2) - (41*13^(1/2)*sinh((13^(1/2)*t)/2))/91))/(3*exp((7*t)/2)) - (2*exp((7*t)/2)*(cosh((13^(1/2)*t)/2) - (307*13^(1/2)*sinh((13^(1/2)*t)/2))/91))/3) -L1*((10*(cosh((13^(1/2)*t)/2) - (21*13^(1/2)*sinh((13^(1/2)*t)/2))/65))/(7*exp((7*t)/2)) - (10*exp((7*t)/2)*(cosh((13^(1/2)*t)/2) + (21*13^(1/2)*sinh((13^(1/2)*t)/2))/65))/7) -(48*13^(1/2)*exp((7*t)/2)*sinh((13^(1/2)*t)/2))/13;
X2(t)=- L1*((2*exp((7*t)/2)*(cosh((13^(1/2)*t)/2) + (41*13^(1/2)*sinh((13^(1/2)*t)/2))/91))/3 - (2*(cosh((13^(1/2)*t)/2) +(307*13^(1/2)*sinh((13^(1/2)*t)/2))/91))/(3*exp((7*t)/2))) - L2*((356*(cosh((13^(1/2)*t)/2) + (560*13^(1/2)*sinh((13^(1/2)*t)/2))/1157))/(63*exp((7*t)/2)) - (356*exp((7*t)/2)*(cosh((13^(1/2)*t)/2) -(560*13^(1/2)*sinh((13^(1/2)*t)/2))/1157))/63) - 8*exp((7*t)/2)*(cosh((13^(1/2)*t)/2) - (7*13^(1/2)*sinh((13^(1/2)*t)/2))/13);
L1(t)=- (L1*(cosh((13^(1/2)*t)/2) - (7*13^(1/2)*sinh((13^(1/2)*t)/2))/13))/exp((7*t)/2) -(6*13^(1/2)*L2*sinh((13^(1/2)*t)/2))/(13*exp((7*t)/2));
L2(t)=- (6*13^(1/2)*L1*sinh((13^(1/2)*t)/2))/(13*exp((7*t)/2)) - (L2*(cosh((13^(1/2)*t)/2) + (7*13^(1/2)*sinh((13^(1/2)*t)/2))/13))/exp((7*t)/2);
EJERCICIO2
X1(t)= L1*((82*(cos((71^(1/2)*t)/2) + (93*71^(1/2)*sin((71^(1/2)*t)/2))/2911))/(15*exp((3*t)/2)) - (82*exp((3*t)/2)*(cos((71^(1/2)*t)/2) - (93*71^(1/2)*sin((71^(1/2)*t)/2))/2911))/15) -L2*((18*(cos((71^(1/2)*t)/2) - (329*71^(1/2)*sin((71^(1/2)*t)/2))/1917))/(5*exp((3*t)/2)) - (18*exp((3*t)/2)*(cos((71^(1/2)*t)/2) - (671*71^(1/2)*sin((71^(1/2)*t)/2))/1917))/5) +(48*71^(1/2)*exp((3*t)/2)*sin((71^(1/2)*t)/2))/71;
X2(t)=L1*((18*exp((3*t)/2)*(cos((71^(1/2)*t)/2) + (329*71^(1/2)*sin((71^(1/2)*t)/2))/1917))/5 - (18*(cos((71^(1/2)*t)/2) +(671*71^(1/2)*sin((71^(1/2)*t)/2))/1917))/(5*exp((3*t)/2))) + L2*((188*(cos((71^(1/2)*t)/2) + (6*71^(1/2)*sin((71^(1/2)*t)/2))/3337))/(15*exp((3*t)/2)) - (188*exp((3*t)/2)*(cos((71^(1/2)*t)/2) - (6*71^(1/2)*sin((71^(1/2)*t)/2))/3337))/15) +...
X1(t)= L2*((2*(cosh((13^(1/2)*t)/2) - (41*13^(1/2)*sinh((13^(1/2)*t)/2))/91))/(3*exp((7*t)/2)) - (2*exp((7*t)/2)*(cosh((13^(1/2)*t)/2) - (307*13^(1/2)*sinh((13^(1/2)*t)/2))/91))/3) -L1*((10*(cosh((13^(1/2)*t)/2) - (21*13^(1/2)*sinh((13^(1/2)*t)/2))/65))/(7*exp((7*t)/2)) - (10*exp((7*t)/2)*(cosh((13^(1/2)*t)/2) + (21*13^(1/2)*sinh((13^(1/2)*t)/2))/65))/7) -(48*13^(1/2)*exp((7*t)/2)*sinh((13^(1/2)*t)/2))/13;
X2(t)=- L1*((2*exp((7*t)/2)*(cosh((13^(1/2)*t)/2) + (41*13^(1/2)*sinh((13^(1/2)*t)/2))/91))/3 - (2*(cosh((13^(1/2)*t)/2) +(307*13^(1/2)*sinh((13^(1/2)*t)/2))/91))/(3*exp((7*t)/2))) - L2*((356*(cosh((13^(1/2)*t)/2) + (560*13^(1/2)*sinh((13^(1/2)*t)/2))/1157))/(63*exp((7*t)/2)) - (356*exp((7*t)/2)*(cosh((13^(1/2)*t)/2) -(560*13^(1/2)*sinh((13^(1/2)*t)/2))/1157))/63) - 8*exp((7*t)/2)*(cosh((13^(1/2)*t)/2) - (7*13^(1/2)*sinh((13^(1/2)*t)/2))/13);
L1(t)=- (L1*(cosh((13^(1/2)*t)/2) - (7*13^(1/2)*sinh((13^(1/2)*t)/2))/13))/exp((7*t)/2) -(6*13^(1/2)*L2*sinh((13^(1/2)*t)/2))/(13*exp((7*t)/2));
L2(t)=- (6*13^(1/2)*L1*sinh((13^(1/2)*t)/2))/(13*exp((7*t)/2)) - (L2*(cosh((13^(1/2)*t)/2) + (7*13^(1/2)*sinh((13^(1/2)*t)/2))/13))/exp((7*t)/2);
EJERCICIO2
X1(t)= L1*((82*(cos((71^(1/2)*t)/2) + (93*71^(1/2)*sin((71^(1/2)*t)/2))/2911))/(15*exp((3*t)/2)) - (82*exp((3*t)/2)*(cos((71^(1/2)*t)/2) - (93*71^(1/2)*sin((71^(1/2)*t)/2))/2911))/15) -L2*((18*(cos((71^(1/2)*t)/2) - (329*71^(1/2)*sin((71^(1/2)*t)/2))/1917))/(5*exp((3*t)/2)) - (18*exp((3*t)/2)*(cos((71^(1/2)*t)/2) - (671*71^(1/2)*sin((71^(1/2)*t)/2))/1917))/5) +(48*71^(1/2)*exp((3*t)/2)*sin((71^(1/2)*t)/2))/71;
X2(t)=L1*((18*exp((3*t)/2)*(cos((71^(1/2)*t)/2) + (329*71^(1/2)*sin((71^(1/2)*t)/2))/1917))/5 - (18*(cos((71^(1/2)*t)/2) +(671*71^(1/2)*sin((71^(1/2)*t)/2))/1917))/(5*exp((3*t)/2))) + L2*((188*(cos((71^(1/2)*t)/2) + (6*71^(1/2)*sin((71^(1/2)*t)/2))/3337))/(15*exp((3*t)/2)) - (188*exp((3*t)/2)*(cos((71^(1/2)*t)/2) - (6*71^(1/2)*sin((71^(1/2)*t)/2))/3337))/15) +...
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