Engineering Mathematics · Lesson 25 of 28

Systems of Differential Equations

First-order linear systems in the matrix form x' = A x solved through the eigenvalues and eigenvectors of A, the node, saddle, and spiral classification of the equilibrium read straight off those eigenvalues, coupled tank and mixing models, and the trick of recasting a higher-order ODE as a first-order system, with every worked example carried to a finished number with units.

15 min read · Super Ea