## Question

###### TY THUMBS UP!!! consider the initial value problem, entro hivalu Y"= 4x+4y ty' yloset y'(o)=2 What...

TY THUMBS UP!!!

consider the initial value problem, entro hivalu Y"= 4x+4y ty' yloset y'(o)=2 What are the first four nonzero terms of a Taylor Senys approximation for the solution?

## Answers

15 let given initial value problem Y" = ax + 4y ty, y (0)='s yllo)=2. y = { outh be the sakertion at =) ja y s nenugan ni but these venture in ③ we have È nenugant Σ -48 and 4x ht an-2 anch N ) ho n2 nang no n2 È sanxhaan {(h+2)(htiDantza- Ehtiganiach has いっす hao Ź (n+3)(n+v) hajanatha 400 - laikrant 2a2+ 693x + 2 Gh+2) intisamana - 9,-2017). do buts among 400 lain-laanahan 22 na 2 2 202-01 -21-100) -920) + (603-2012 - 900) X I (M+2) Challan2-(hiljana - Tanjah + h=2 992-0-9000 603 -202-49154 (n+2)(n+D antaa (hal) anya tanze given that ao! 02 202406 2446 ) (2) 693 - 4+22+491 = 40 (+183) 03.3n=2, 33 2 — 4cm = 6 +%2C4 =) 12.04 - 2) а4 - пет + 4 C2 - 3x31-473- 2) 2\ "T2 с7 - 4- 4. 4. усм)= 1 -- 2 -- 2-3 еу° - о 4

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