This article shows results on the simulation of partial differential equations such as the heat equation, the Laplace equation and the wave equation in a course called mathematical methods at a university in Bogotá Colombia. In this course, the concept of partial differential equations and different solution methods were explained to them, both in the analytical and numerical part, the importance they have in the physical sciences, the exact sciences and many of their different applications in engineering, since students. They are in the fifth semester of the mechatronic engineering degree, then under the methodology of didactic situations they were presented with a particular situation where by developing code in the mathematics and electronic simulation software called Matlab, some of these could be simulated, giving different values to constants and describing their behavior just as it was possible to visualize some results of the main partial differential equations, with quite significant results.