One and a half hours
THE UNIVERSITY OF MANCHESTER
CALCULUS AND APPLICATIONS
25 May 2010
Answer all five questions (41 marks in all).
Electronic calculators may be used, provided that they cannot store text.
1 of 3 P.T.O.
1. Consider the initial value problem comprising the ODE
x - 1
1 - y
subject to the initial condition
y(X) = Y,
where X and Y are known constants.