test 2 2010 - x ‘\ DIATH 1005B7 Test 2 February 25, 2010...

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Unformatted text preview: x ‘\ DIATH 1005B7 Test 2 February 25, 2010 1 ,v, This test paper has 5 questions and total of 30 marks. It cannot. be taken from the examination room. Onlv nonprogrammable calculators are allowed. Duration: .50 Minutes. NANIE : STUDENT NO : PART 1: Multiple Choice Questions. No partial marks. Circle the correct answer. [3] 1. If y is the solution of the initial value problem 12y” —— 3131/ + 4y = 0, :r > O. 7/(].) = 3. y’(1) = 6. th what is y(2) ? (a) 6 (c) 24 (d) 30 (e) 32 COMcha o Euler DE" A L)”L_O mi /) 3m+u :O ~75/771— le+l4 (m,— _ m” I l a) m;z :75 3:97:24“ Clxlénfl} 3sc gmgé Wax Ct TCleX 0K+X> 6: ZC,+ ‘31 y’i/l56 [3] 2. A particular solution of the equation 3;” — 3y’ + 23/ = 8621 is given by 3],, = (a) Ae?’ K ‘ MATH 1005B Test 2 February 25.. 2010 I") PART II: Long answer questions. Show all your work. 3(a). Find the general solution of the differential equation y” — 2y’ + 103/ = 0. (LrV‘Lr—f/OsO u. H. , v, If] (_ 133/qu0? 7166 :/+ 34 rd 04’/}/g-—g L ’/7;________,/\‘ MIMI/e: l Cl Cosménxijt 615173 lg [3] 3(b). Find the general solution of the differential equation .73ng — 323/ + My 2 0, .7' > 0 I uer DE- CQWM E l I 1 rum/0:0 mLm-defl +1020 ¢5m- 75 m;!¥3¢‘ 75 04:1} )gzg M(mrl\+7/W\’é :O > ml+mrézO 75 lm+3><mvl>20 |MATH 1005B Test 2 February 25., 2010 j 3 [9] 4. (a) Find two linearly independent solutions of the differential equation 11” — 8y’+ 16y : (l. ,4.‘ f '1 (1)) Find a particular solution of the differential equation y” — Sy’ + 16y = —5. I, 4.1‘ (c) \\ hat is the general solution of the dlfferential equation y” — 8y’ + 16g 2 — 5 (a) {him/Ago a (w L050 75 (:9 w 31:9 / firm 151C416 + M U\ ’ X5 I Ax AX<,L_,—»——3> I emf/LE?“ “ 3x3 4X ngu‘gmUmgtzgg 4* (4) C3) AX 8 5?: if??? @ MATH 1005B Test 2 February 25, 2010 [6] 5. Solve the systems of linear equations { Xllé‘juxlfjl; Afl+l57<flj : 4 ,ér—GLzo a HARM/>20 75": 73 «’1 ...
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This note was uploaded on 02/28/2011 for the course MATH 101 taught by Professor Duke during the Spring '11 term at University of Ottawa.

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test 2 2010 - x ‘\ DIATH 1005B7 Test 2 February 25, 2010...

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