I have that the general solution of a function is
where c(m) are constants.
I need to find an expression for c(m) in terms of an integral
Orthogonality relation given is
[tex]\int[/tex]dx x Jo([tex]\alpha(m)*x/a[/tex])Jo([tex]\alpha(q)*x/a[/tex] = 0.5a^2 J1([tex]\alpha[/tex])[tex]\delta(mq)[/tex] where the integral runs between 0 and a and the subscripts on alphas are m and q respectively.
The Attempt at a Solution
I know that you can multiply both sides of the first equation by Jo([tex]\alpha*x/a[/tex] *x and integrate both sides over the range, using the sifting property given but what happens to the exponential term from the original equation?