Finding Singular Points - Differential Equations Workbook For ...

Singular points occur when a coefficient in a particular differential equation becomes unbounded. For example, in this differential equation. Skiptomaincontent DifferentialEquationsWorkbookForDummies®byStevenHolzner GetfullaccesstoDifferentialEquationsWorkbookForDummies®and60K+othertitles,withfree10-daytrialofO'Reilly. There'salsoliveonlineevents,interactivecontent,certificationprepmaterials,andmore. Startyourfreetrial 9.1.FindingSingularPoints NOTE Singularpointsoccurwhenacoefficientinaparticulardifferentialequationbecomesunbounded. Forexample,inthisdifferentialequation where p(x)=Q(x)/P(x) and q(x)=R(x)/P(x) thesingularpointsoccurwhereQ(x)/P(x)and/orR(x)/P(x)becomeunbounded. Inthefollowingproblems,youpracticefindingsingularpointsindifferentialequations.Butfirst,aquickexample. NOTE EXAMPLE Q.Whatarethesingularpointsofthisdifferentialequation? A.x1=2andx2=−2 First,puttheequationintothefollowingform: wherep(x)=Q(x)/P(x)andq(x)=R(x)/P(x)Doingsogivesyou Therefore and Lookslikep(x)andq(x)bothbecomeunboundedwhen4−x2=0,sothesingularpointsarex1=2andx2=−2 1.Whatarethesingularpointsofthisdifferentialequation? 2.Solveforthesingularpointsofthisequation: 3.Whatarethesingular... GetDifferentialEquationsWorkbookForDummies®nowwiththeO’Reillylearningplatform. O’Reillymembersexperienceliveonlinetraining,plusbooks,videos,anddigitalcontentfromnearly200publishers. Startyourfreetrial Don’tleaveempty-handed GetMarkRichards’sSoftwareArchitecturePatternsebooktobetterunderstandhowtodesigncomponents—andhowtheyshouldinteract. It’syours,free. Getitnow Close