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Math 5-A FALL 2011 FINAL PRACTICE PROBLEMS (1) Find the general solution of
 

Summary: Math 5-A FALL 2011 FINAL PRACTICE PROBLEMS
(1) Find the general solution of
(a) 2y - 5y - 3y = 0,
(b) y + 3y - 4y = 0,
(2) Find the general solution of
(a) y + 4y = x cos(x),
(b) y - 9y + 14y = x e2x
+ x,
(c) y + y = sec(x).
(3) Find the solution following initial value problems
(a) y + 4y = -2 y(/8) = 1/2, y (/8) = 2,
(b) y + 4y = F0 sin(ax), y(0) = y (0) = 0,
(c) y - 9y + 14y = x e2x
+ x, y(0) = 1, y (0) = 0.
(4) Consider equation
d2
x
dt2
+ 4 x = -4 sin(2t).
(a) Find the solution satisfying the initial conditions x(0) = 0, x (0) = 1.

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics