Elementary Differential Equations 10th Edition
By William Boyce and Richard DiPrima
All Chapters Covered
, CSHSASPSTSESR
1
Introduction
1.1
1.
S
ForS yS>S3/2,S theS slopesS areS negative,S thereforeS theS solutionsS areS decreasing.SS ForS yS<S
3/2,StheSslopesSareSpositive,ShenceStheSsolutionsSareSincreasing.S TheSequilibriumS solutionS
appearsS toS beS y(t)S=S3/2,S toS whichS allS otherS solutionsS converge.
1
,
, 2 ChapterS1.SIntroduction
3.
S
ForS yS>S−3/2,S theS slopesS areS positive,S thereforeS theS solutionsS increase.SS ForS yS<
−3/2,S theS slopesS areS negative,S andS henceS theS solutionsS decrease.SS AllS solutionsS app
earS toS divergeS awayS fromS theS equilibriumS solutionS y(t)S=S−3/2.
5.
S
ForS yS>S−1/2,S theS slopesS areS positive,S andS henceS theS solutionsS increase.SS ForS yS<
−1/2,S theS slopesS areS negative,S andS henceS theS solutionsS decrease.SSSAllS solutionsS div
ergeS awayS fromS theS equilibriumS solutionS y(t)S=S−1/2.
6.
S
ForS yS>S−2,S theS slopesS areS positive,S andS henceS theS solutionsS increase.S ForS yS<S−2,S theS s
lopesS areS negative,S andS henceS theS solutionsS decrease.S AllS solutionsS divergeS awayS fro
mS theS equilibriumS solutionS y(t)S=S−2.