Working a problem in Greenburgs "Advanced Eng. Mathematics", #8 page 170. Two substances w/ concentration x(t) and y(t), react to form a 3rd substance w/ concentration z(t). The reaction is governed by the system
x’+ αx = 0
z’= βy
x + y + z = γ
solve for x(t), y(t), and Z(t) subject to...