I need some help getting started on this problem. $\displaystyle y^\prime - \int\limits_{0}^{t}cos(t-\tau)y(\tau) d\tau = 1, y(0) = 2$

This problem scream Convolution to me, but the $\displaystyle y(\tau)$ is throwing me off.

I have considered recursive integration, but am still not sure what to do with that term.

Any help? Thanks!