Exam 3 Li Spring 2011

# Exam 3 Li Spring 2011 - EXAM 3 • , ( M ATH 2233 SECTION...

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Unformatted text preview: EXAM 3 • , ( M ATH 2233 SECTION 002, 'SPRING 2011 INST] Print Name and Student # J. SHOW W ORK FOR CREDIT I!! SHOW W ORK FOR CREDIT !!! (I) (IOpts) Determine a lower bound for the radius of convergence of series solutions about Xo = 4 for the differential equation Q (9+x 2 )y"-xy' +4y=O. ( X '" V " , . y '-1 J . V C I ;{l...q r C:;;v (2) (~Find the general solution of the given Euler equation x 2 y" + 3xy' + 2y = O. . / rlV'.r) + ~ r + L. ~ 0 ( 'l . _ y 't '1...- t1.--- 0 V-1.+2..v-fL-:..0 t' + I)L--)L y- ~ l l , ~ {'-=-r--I . ' c -- I I ( ,? ( +- eLi / V I/X( z WEIPING 11 o'" (1 '\ -t "Z..) ~ Q " )y"- 0. "" (><;0 ( " ,:./ (b) Find the first three nonzero terms in each of two solutions Yl and yz. ",-0 ~ '? q .,.- ' h- to ~ V\ ~"L-:: ) C:L.{ :.- 'l?.-= . C\.,--:;;--:;;-- "1 _ tJ! I V'.,.., " .... 0 ," t' ( 4 " - t./.1.. ~ -v /::'4 '/'I-X \'t- J-:('1+ )+q (~_?i" f- ~5 ~ ) d o ~ ~ '" J ~., (c) Compute the Wronskian W(Yl'YZ)(O), and Show~h~t Yl and Yz form a fundamental '-;) <- set of solutions.set of solutions....
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## This note was uploaded on 01/10/2012 for the course MATH 2233 taught by Professor Binegar during the Fall '08 term at Oklahoma State.

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Exam 3 Li Spring 2011 - EXAM 3 • , ( M ATH 2233 SECTION...

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