I can't quite understand this differential equation question..... any help would be much appreciated:
Imagine a country that is adopting foreign technology T as shown in the following equation where A denotes the level of domestic technology and the dot over A denotes its derivative with respect to time:
(A_t ) ̇/A_t = ϕ(E) [(T_t - A_t)/A_t ] ϕ(0)=0 ϕ'(E)>0
a) Assume that the level of foreign technology is constant and solve the differential equation above
b) What is the effect of an increase in the level of education E?
c) What is the effect of an increase in the rate of growth of foreign technology λ?