Convolution Integral help please

All,

I'm looking to solve the following convolution integral

integral from 0 to t of:

C0(t'+0.471)*exp(-2.1(t-t')/(0.036))dt'

I have a vector of t values and the function C0 is a vector of measured values

I've been told I need to convolve C0(t') with the exponential term, does anyone know how I can achieve this using the conv function? The t' term doesn't allow me to create a vector for the second term to perform the convolution

I should add that I don't have much experience with convolution integrals so any help is greatly appreciated!

Thanks, Jim