MTH 425 Lecture Notes - Lecture 9: Soot, Laplace Expansion
Document Summary
De of an sexy and higher des order n a cx y nth order de m ies t a ny glx prescribe yixo yexo y xo y o a nth order homogeneous de. The general sol"m of next y id where and tow an y x t a. C y lx czyz x t ask y a x y t. Cnynfx o ya ya er er to check an yn are linearly independent solution arbitrary that constants lin. Consider ya ya a yn lin if and only if wix are y. C 1 th c ex extxe ex zexixe to to. Ya ya y in y s ca t c xet ere lin are. Xer the general solution mi i in i ai i. 1,2 n ane constants seek soe"m of the form y em. Din m t an m t a ota m due to auxiliary ex"n polynomial of degree n root.
