Hi,

I can't quite understand this differential equation question..... any help would be much appreciated:

Imagine a country that is adopting foreign technologyTas shown in the following equation whereAdenotes the level of domestic technology and the dot overAdenotes 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 educationE?

c) What is the effect of an increase in the rate of growth of foreign technology λ?