∑Homework Statement
Use the method of Frobenius, constructing a power series about x = 0,
to find the general solution of this equation (retain terms up to and including those in
square brackets):
4xy'' + 2y' + y = 0 [x7/2]
Note: the solution can be written in closed form, can you...
Question: Let n be a positive integer and consider x,y,z to be elements of Zn. Prove that if x . y = 1 and x . z = 1, then y = z. (Since working in Zn the sign '.' means "multiplication modulo n".)
Conclude that if x has an inverse element in Zn, then the inverse element is unique.
Attempt...