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Possible ProblemsTopicsI Separationofvariables2Methodof integrating favor3Stability equilibriumsolutionssolution curves autonomous DES
4slopelawnon fields
5Euler's Method La steps global error 0 h
6 Modeling Population Compounding interest Newton'S Lawof Cooling wongModelmixtures
t Orderof DE meannonlinear homogeneousInonhomogeneous8Solutionsof higherorder DES with operationapproach or characteristic equation9 wear dep.lmdep.Wronsk.is fundamentalsetof solutions10 ⺕ of solutions
Ex Show that I andxlxlareUI.citczxlxkoltx.S.nu
it has to be true for all x it's true atsayㄨ1⼀如1 a t a 0 M x ㄨ20
⼗ ⼆ za o c.noㄨ 1 a a 0 Ma 0i 5 and
xlxlarelI.SIBFndaDE whose general solution is yiiětt Getroots 2 3
RD D 2 D 3
DE B RD y 0D 2 ⼼ yo5 126 yo y t y 6y 0
Euler's Method䘡 fcx y ycx y
N of steps h ⼆ 州哥
xntFNnthlyntii.yntwfynynq.iranimation
Weknow error 1yexatlxf yN l c h
if h ⾥ error is terror
Ex 䘡 ytttētus too 㼦 y 七 equilibrium solutionyttt.noyet
Ifasy yz tasympun.cag
巫 Write DEfor wnimyctklast 0
mgat 1 y y 1 equilibrium solution
y n El7__巫 y y 1 2 y i
as too 㼦 ytt 器 y t
m d吣北⼆efdtetuy.int 㗊 㤈
莲 草器eiyft.tdttcyt.lt cě