Methods for obtaining numerical and analytic solutions of elementary differential equations. Applications are also discussed with an emphasis on modeling.
Differential Equations: An Introduction to Modern Methods & Applications, by James R. Brannan and William E. Boyce (Third edition); John Wiley and Sons, Inc.
|Introduction, linear equations and First order differential equations||1.1-1.3, 2.1-2.7||7|
|Systems of first order equations||3.1-3.6, 6.1-6.7||13|
|Second order linear equations||4.1-4.7||7|
|The Laplace transform||5.1-5.9||9|
|Nonlinear Differential equations and stability||7.1-7.6||5|
|Numerical methods such as Euler's method||8.1 and 8.4||1|