This is a study material on the topic Piccard's Uniqueness & Existence Theorem for first order differential equations.

This is a study material describing different methods for finding particular integrals of higher order ordinary differential equations.

The above is an excerpt taken from the book Differential Equations by Shepley L. Ross, John Wiley & Sons Publishers. This chapter describes the theory and working principles of 2nd order ordinary differential equations with constant as well as variable coefficients. The students should cover this topic first before going to the system of linear differential equations. They should learn how to find a particular integral for a 2nd order differential equation, particularly the method of undetermined coefficients and the method of variation of parameters. They should also learn the theory of Wronskians. Solving the exercises should provide them the required skill and tools which are necessary to further confront many wide range of problems.

The above is an introductory note on 2nd order homogeneous ordinary differential equations with constant coefficients. The students should cover this topic first before going to the system of linear differential equations.

This is an excerpt on system of linear ordinary differential equations from the book Differential Equations by Shepley L. Ross, John Wiley & Sons Publishers. It should be treated by the students as the primary textbook on this topic. The topic should be fully covered within 10 days of reading and all the exercises in the book are to be solved as assignments.

These three are some supplementary study materials on system of linear differential equations. Students should use them for further reading along with the text from the book by Shepley L. Ross.