A shop market sells smoothies and ice
cream. The cost for these two products is
modeled according to the pair of second-
order linear differential equations:
(d^(2)x)/(dt^(2))+3x=2y
(d^(2)y)/(dt^(2))+3y=2x
The function x(t) represents the cost of
smoothies, while y(t) represents the cost of
ice cream. Determine x(t) and y(t) given the
following initial conditions:
t=0,x=4,y=2,(dx)/(dt)=0 and (dy)/(dt)=0.