# Differential Equation - how to solve a simple equation..

• June 10th 2012, 03:57 AM
econolondon
Differential Equation - how to solve a simple equation..
Hi,

I am really struggling to solve this differential using the basic rules that I know.

There should be a dot above the A in the numerator on the left hand side and brackets around the fraction on the right hand side but I wasn't sure how to do that.

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:

$\frac{A}{A}= \phi(E)\frac{T(t)- A(t)}{A(t)}$

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?