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Unformatted text preview: 286E1, Spring 2010Final Exam Checklist11First Order ODEsDirection fields and solution curves, existence and uniqueness of solutions to first order ODEs (1.3)Methods for solving first order ODEs  separable, linear, exact, and substitution tricks (1.4, 1.5, 1.6)Equilibria, phase and bifurcation diagrams for autonomous equations (2.2)Eulers approximation method (2.4)2Higher Order ODEsExistence and uniqueness of solutions, form of solutions...y=yc+yp(3.2)Solving homogeneous equations with constant coefficients  via roots of the characteristic polynomial (3.3)Solving nonhomogeneous equations  guessing a particular solution/undetermined coefficients (3.5)Application of 2nd order ODEs to oscillations  under/overdamped, natural frequencies, resonance (3.4, 3.6)3Systems of ODEsRewriting higher order systems as first order systems  in matrixvector notation (4.1, 5.1)Solving constant coefficient homogeneous systems  eigenvalues/vectors and fundamental matrix (5.2, 5.4)Solving constant coefficient homogeneous systems  eigenvalues/vectors and fundamental matrix (5....
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This note was uploaded on 10/05/2010 for the course ECE 329 taught by Professor Kim during the Spring '08 term at University of Illinois, Urbana Champaign.
 Spring '08
 Kim
 Electromagnet

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