User:Mligonti/sandbox

rite a program in Maple ( or Mupad) to use the techniques of Laplace transforms to solve the system of equations d 2 x dt 2 = ax + by d 2 y dt 2 = cx + dy for any speci�ed values of a;b;c;d;x (0) (0) (0) (0). Use examples to test this program and in particular use it in the case a = b = c = d = 1 (0) = 1 (0) = 0 (0) = 0 (0) = 1 20 Marks To complete the assignment apply your program to solve ONE of the two physical systems given below. You should choose appropriate and re- alistic parameters and illustrate your solutions with both an analytical and graphical output. 30 Marks 1. The equations for two identical masses coupled by three springs are m d 2 x dt 2 =
 * y
 * Dx
 * Dy
 * x
 * Dx
 * y
 * Dy