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Unformatted text preview: MA 252wNH Quiz 1 (June 17 (Tue), 2008)
Quiz 1 consists of 2 pages. Show All Your Work! Y 9. Name rint Problem. (1) Find a general solution of cagy'+93ym1 ($>G).  (0.1)
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xrép‘g 7% X3"? miﬂufziﬁz '2 (ii) Verify the solution you obtained in (i) by substituting your solution in the equation (0.1). MA 252NH Quiz 2 (Juiy 3 (Thu), 2008) This quiz consists of 2 pages. Show All Your Work! \3" £7" Name rint 3 3. ~33 Problem 1. (1) Is the differential equation (232312 ~— 3)d:c + (2:021; + 4)dy = 0
exact?
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U? \‘jw Com AME WHCL “023» Cm] w MA 252NH Quiz 3 (July‘ 10 (Thu), 2008) This quiz consists of 2 pages. Show All Your Work! Name (mint) \(1 g: Problem 1. y1(a:) n cos (4:6) is a solution of the differential equation y” + 163; m
0. Use reduction of order to ﬁnd a second solution 31203). Show all your calculation. __
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wauumw a. «3.3. “. ’fx. MA 252mm: Quiz 4 (July 24 (Thu), 2008) Show All Your Work! Explain how you solved the problem in an organized "way. W Problem. (i) Find the general solution of the differential equation ( {l9 PE )
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Answer: m CQ Email“ 62% My ii) Find a particular solution of the differential equation C [0 P13)
3;" + 4y' + 5y 2 358””
by using the method of undetermined coefﬁcients. TAM a," who? =(ch4— 4W) +5A)€4X=35541
to MH’ng—gﬁ 2:.» M33: =>A==7 ' (iii) Solve the initial value problem _ S u
y” + 4y’+ By = 356““, 31(0) m 3, y’(0) =  < P ) ”2,1  X r" “,4
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w): mac; + 9‘2? 3...», WEMJWM ”‘1 ® C2,: 1’86‘2? x2! MA 252~NH Quiz 5 (July 29 (Tue), 2008) Show All Your Work! Explain how you solved the problem in an organized way. Name rim; Problem 1. Find the inverse Laplace transform ﬁt) =£*1{l—3+ 1 }. and Problem 3. Solve the initial value problem y' + 43; = 6—43 by using the laplace transferm. , WW2 ”E ’ .‘~ _. “‘1 a. i M
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 Summer '08
 Saito
 Differential Equations, Equations

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