Abstract
The discrete (noncontinuous) and the continuous (non-discrete) Laplace transforms are effective tools to solve linear difference equations and differential equations (ordinary or partial) with constant coefficients, respectively. The present work applies the continuous (non-discrete) Laplace transform on a system of linear partial differential equations (PDEs) describing a solar collector. The analytic solution is determined in explicit form in terms of some entire special functions. Numerical calculations are accomplished and illustrated through graphs and tables.