MATH 1ZC3 Lecture Notes - Lecture 13: Horse Length
13 Mar 2019
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Inthisequation the unknown is a function sottesolution is afunction that satisfiesthe equation eg y ly e g y y 16 0 solution y ee. Adifferentialequationtogetherwithhitialtonditionfsomepointthat e. g y y t thefunctionhastopassthough anextraconditionthat allowsyoutosokethefunction a coordimtegientosettlethe line sygbng solutionfromabove a o tyco 4 initialcondition e y. 1derivative ifalloty 0 thisisonesolution thetrivialsolutionof thislinearsystem e. g y 3y s pdiagnal y e. Solutionbydiagnolization y ay find a pthat diagnolizesa andthecorrespondd useseigenmatrix. Letty phi where pdingnalizealp ap d if isanothersystemofunknownfunction y p u thenrewritethesystem yt fy byreplainyy aandy. 4203 6 e. gwhat if yico pleaagiantoth create asystem regardingc i. C t cz f l4 1 sake i ub le hizen l i y y 4e3 12 e. Xi xs xs xu thenthesolution of y ayis. Z g xx x c e ul e l. 14. 1 y by this if not16y"from hisgustanotation fo originalequation forsolingbiady onlypossibleforefunction asksderinatiehassane formatwithitself y bi. 0 xcx 11 6 o p 1 6.
