There exists a 5 4 matrix whose image consists of all of R5.

Math246Lecture 2: Linear Differential Equations The first kind of differential equation we are going to look at is the linear, first order differential equation. These are equations of the following form: dy + f (t)y=g(t) dt If the equation doesn’t come in this form, we will have to make it into this form. There’s not much else to say so let’s start off with an example… ____________________________________________________________________________ dv Ex 1: dt =9.8−.274v We will follow the 5 step solution process for solving equations of this type. 1. Put the differential equation in the correct initial form 2. Find the integrating factor 3. Multiply the differential eq