Arms Race. A simplified mathematical model for an arms race between two countries whose expenditures for defense are expressed by the variables x(t) and y(t) is given by the linear system where a and b are constants that measure the trust (or distrust) each country has for the other. Determine whether there is going to be disarmament (x and y approach 0 as t increases), a stabilized arms race (x and y approach a constant as or a runaway arms race (x and y approach + ? as

Solution Step 1:We have given a linear system of equations in and and by solving these equations with given conditions we have to find and .