MAT 303 Study Guide - Final Guide: Fundamental Solution, Integrating Factor, 2Mass
30 Oct 2016
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Models: (a) newton"s law of cooling: notes, hw2 (6) (b) population model: notes, hw4 (2,3), practice1 (4), mid1 (4). (c) acceleration-velocity model: hw5 (1), practice1 (5) 2y + y = 0. (b) non-homogeneous equations, particular solutions: undetermined coe cients, variation of parameters y + 4y + 4y = e 2x. y + y = Model: mechanical vibration hw7 (9-11), hw9 (1-2), practice2 (3), midterm 2 (3)- (4). (a) free undamped/damped oscillation (b) forced undamped/damped oscillation, resonance. Method: (a) elimination method hw10 (1)-(2), quiz3 (1), hw11 (3a) (also the fol- lowing three systems). (b) eigenvalue method (c) complex eigenvalue (d) multiple eigenvalues (cid:26) x . 2 = 4x1 + 3x2 x (cid:26) x . 2 = 4x1 + 9x2 x (e) chain of generalized eigenvectors: notes, hw11 (3b), hw12 (1). 2 (f) exponential of matrices and initial value problems: hw12 (2), (3). (g) nonhomogeneous linear system (cid:26) x x . Model: (2-mass, 3-spring) system: hw9 (4), hw10 (2).
