1. Differential Equations MTH 242 Lecture # 26 Dr. Manshoor Ahmed

2. Summary(Recall) System of linear differential equations (continued). Solution by using determinants. Steps involved in the method. Solution of some problems.

3. Systems of Linear First-order Equations In the previous two lectures we learned to solve systems of linear differential equation by means of either systematic elimination method or by using the determinants. In this chapter we are going to concentrate only on systems of linear first-order differential equations.

4. So, in previous lectures we considered systems of the form

5. Now, we are going to consider the systems of the form

21. Exercises for practice

34. Summary System of first-order linear differential equations. Homogeneous and nonhomogeneous systems. How to write a single nth-order linear differential as a system of first-order differential equations. How to write a system of higher order linear differential as a system of first-order differential equations. Matrix notation for system of first-order linear DEs. Solution vector of system of first-order linear DEs.