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## Homework Statement

I have that the general solution of a function is

f([tex]\rho[/tex],t)=[tex]\Sigma[/tex]c(m)Jo([tex]\alpha\rho\a[/tex]) exp[-Dtm^2]

where c(m) are constants.

I need to find an expression for c(m) in terms of an integral

## Homework Equations

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?