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# q12a - A MSW/W QUIZZ 12 MATH 2233 SECTION 2 SPRING 2011...

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Unformatted text preview: A MSW/W QUIZZ 12 MATH 2233 SECTION 2, SPRING 2011 INSTRUCTOR: WEIPING LI Print Name and Student # SHOW WORK FOR CREDIT !!! SHOW WORK FOR CREDIT H! (1) (5pts) Determine a lower bound for the radius of convergence of series solution about each given point: mg" + y = 0; m0 = 1. new-W ~ g ” + ~—,%- 3 ”=1 0 WW _ .3. 1 1’00: 0 , 6m) * >< . ﬂ...” X ’r’" O . X o ‘2. f [ X0: f (a: {1;er (x0, 0) (2) (5pts) Determine 45,,(0), (bu/(O) and (M4) for the given point 1:0 2 0 if y = q5(x) is a solution of the initial value problem: 1/” + (sinrvﬁ/ + (COS m)?! = 0; y(0) = 04(0) = 1. {23120 as.” x) 4;) wee-3w“, : o Wag clerimﬁv‘ﬁ 45’”) + (@5— 507509 + (3.2“) ¢" ( X) +6311”) ¢cx/-+ (Q3XJSéD/rj =0 - 4% Masons/’0) ”mommaTFS‘"0)¢KOJT(‘€’30)¢”0J 0 Q5“) + 2 CGSXCil/X) ~Z Sméqﬁtx) +' SMX {PM +&3X¢{K_)_ 653* \$25“) ﬁlm/7%: 2 WEIPING LI (3) (5pts) Solve the Euler equation I2 y — 3mg + 4y— —~ 0. Cﬂlw‘raaﬁﬁwtsﬂEL EZMCJIM Y( Y—‘ ,) ~5Y+ 4 :0 T ”'4—Y +4 5 O (x.,2)2—:,_0 Y, :— YZ :— 2. Y , _ ll; 3 X31 1" 7(2) H2 1% I {nXS Xa/MX 5L 1C, ’X1 + Ca Kilt/IX (4) (5pts) Find all singular points and determine Whether each one is regular or irregular. II 2 I 122(1 — m2)y + ;y + 43/ = 0. 4 If“): X3(‘;_X2) ,- i”): X (PX) Sb :2 0) i l are 5::C6fwlar Pam/d?) ' ...
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q12a - A MSW/W QUIZZ 12 MATH 2233 SECTION 2 SPRING 2011...

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