J.J._Salacuse_Quiz_4_Answer_Key_Sprint_2007

J.J._Salacuse_Quiz_4_Answer_Key_Sprint_2007 - f I;11-= U...

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MATH-204, quiz 4 May 23, 2007 Dr. J. J. Salacuse Narne(Print) 1;<-/.'5' /"';7 # 1. In each case give the form of the particular solution associated with the undetermined coefficient method - do not obtain the values of the coefficients. Note you must give me an efficient form - do not throw in everything including the kitchen sink and hope for the best. (3 points each) d2 (a) ~ + 4y = 3 sin(2x) dx2 d2 (b) ~ + Y = 2xsin(x) dx2 d2 ( ) (c) __ y_dy+.!. - ~ dx2 dx 4y-3+e .Qe,-, OJ ,/ + Lt () = 0 /R o..f3 Ij f\.Y"'" I -:Q D I 1~JtA (,2. . X) -I-,g <; <:;:,.r (2.)(,; h "'or" &--e. - ~ 11-(- d -= @> h~ 0lv'\f'1 ctlol 'C) <' I 1'\ (X) -I _ .. // (. oS' ()(j
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#2. Obtain a particular solution by use of the variation of parameters method. d2 h ~ V1 1/ I _ -----f + Y= sin(x)(6 points) C yY\~~ e.J c/ t- cY .-;. .. 0 dx ~ ) d "1'1 ()o J I(-~, 1'1. ( X J i- J?C 0..1 _ I, . ,J:)
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Unformatted text preview: f. (;.() I, '-' (;11'-= U, C"') /JIll tX 1'/ ~ 1-C)ttX)-f B ()2C)I)) +' tJl. l X) <..0.,S' ()(} \ I tl/ll\ ( X ) t; c.:::). .~' ('it) w=::-, ~. =--,OJ f\ (X) C. c) S (;X)-I-;:--1 (j-co.> C;l x..)) Jl?l "=-t./x-<:.~ 1\ ('~.x) } t~uo (jf ~ .(l,'\ 2 oq-<?, '\ (>()-f ~ X-4'-;,(2. X)} (Q S" ("V =-,;0 I ",3()() + .:s '" ( ?1() C.oS (;I:) -~ CoS (X) N o~_ ~ oHwr--~~-------------------"-., . e: r.,t>/' t'AJ ...:s I 'M II, 1 i <.." 1<:>'\ 0",(2 l() =-2,11"\ (1\ C oS (>V ~;; f";,.[' s,~ ~ (j p=-.ff,>\Sm + ,0111 (XJc<>s"rx3_ fJ:'>.§(j.) _ ,,0 J Y\ (X) r 0" 1'\2 (X). 1"" Co D..f 7..{)() 1-~-~.~, ~'X)-r 1 'L-. . 2-...
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J.J._Salacuse_Quiz_4_Answer_Key_Sprint_2007 - f I;11-= U...

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