Unformatted text preview: 7. Differential equations with piecewise continuous and/or impulsive forcing functions. 8. Writing an nth order linear equation into an n x n system. 9. The Eigenvalues/vectors method of solving 2 x 2 systems of homogeneous linear equations 10. Phase portrait: type and stability of a critical point. 11. Nonlinear system: finding critical points, type and stability of its critical points Note: The predatorprey equations are not covered on this exam. Comments : Students should understand how to solve differential equations using the characteristic equation and the Laplace transform; over, under, and critical damping; how translations work with the Laplace transform, and to transform piecewise continuous functions; solving systems of linear equations using Eigenvalues and Eigenvectors; the type and stability classifications of critical points (know the 6 types and 3 stabilities); and how to linearize a nonlinear system about one of its critical points....
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 Spring '08
 CHEZHONGYUAN
 Math, Differential Equations, Equations, Derivative, Partial Differential Equations, Continuous function

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