In this video we will talk about first order linear system of differential equations with constant coefficients. Then we will see the main theorem which says that any nth order linear differential equation can be written as system of first order linear differential equations. We will also see the concept of solution and notations that we use to write the solultion of a system. At the end we will see how does a general solution to first order linear homogeneous system with constant coefficients looks like. For this, we will see that how linear algebra comes into picture. Espcialy eigenvalues and eigenvectors for a given matrix A. We will also see the notion of Wronskian for solutions. ================================= Links: Linear Differential equations: https://www.youtube.com/watch?v=7TQywUg_R1o ======================================= Second order linear differential equations: https://www.youtube.com/watch?v=XfFPmuiGObk ================ Wronskian: https://www.youtube.com/watch?v=alRi03u8vEk =================== Higher order differential equations: https://www.youtube.com/watch?v=z12a7cthdAw