Practice Quiz #6 with Resolution - Differential Equations | MTH 335, Quizzes of Differential Equations

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Quiz 6 MTH 335-201 Spring 2005 Total Pts: 10 Name: Show all work for full credit. 1. Solve the differential equation y” + y= secrtana by variable of parameters. 2. Solve the given differential equation. (a) 27y" — ey’ — dy = 0 (b) 2?y” — 3ay! + 3y = 2alhes (Hint: Use variation of parameters and ui, = —a?e" => uw, = —a°e* + 2xe” — 2e7) Solutions: fi) yey = SECA font : AE: w=e™ emai $2 C, am 4cn Sih Here y= Ce, si ante Si] aby asides | A DW sf say aoe] feute = Sieh, far= seem o ees singe seek toe = gece fnk Ce¥h elgg = seck-! Ve of { ; “4 ue ule sec ? foecx] — tay o _ fet = “uF ua = in! oe nu Sextet ~ u= fon “€ , ~ Gin ' | nat in BO EPR OE Te pln [eee Le dr Uy, + Uajr = San + sine x ORTH + Ct! je ye Get abe | , Gew egies * fe l Sint — H Comm ¢ stad IM a t 63 nf et A as — stb = fee, mbogeea =e ote fm = 4 Smet! B Re: ne teal Genernd geleriies! go Ht tome be V3 2") =e Ht 22% ) py lew. wees ES we hut =O pahe® (seodanben PRA : Lomb) = = . : "is 3 e 2%, te ey FO He etGe Hee, iy, _ . = gaan ee ¥ © S p= salt we [% 2 |. o# Wy © = 28 wt trax | } lag : Manette | Ua 1 oce* ty! = eP = yaa etree , 2. Yeeete , | | | : 2 2 2 Ker 2K e = Ug tlatts = Lwels ayeh re jer EX = : ”° dp* idit age : = 3 guaran: [pe anne wT] [4