The Laplace transform can also be used to solve differential equations and reduces a linear differential equation to an algebraic equation, which can then be solved by the formal rules of algebra.
This page introduces systems of ordinary differential equations (ODEs), highlighting how a single equation can lead to multiple dependent variables. It discusses linear systems of ODEs and the eigenva...This page introduces systems of ordinary differential equations (ODEs), highlighting how a single equation can lead to multiple dependent variables. It discusses linear systems of ODEs and the eigenvalue method for solving linear homogeneous constant coefficient systems, including exercises for practice. The content also covers the role of matrices within these systems, indicating that it is part of a broader educational guide funded by NSF grants.
