361令036% OI 9:58elearning jadara.edu.jo/E(2Find the general solution of y" – x²y' – y = 0 by power series methodA)RF (recurrence formula): a2 =-1(n+ 2)(n+1)1y=a,1-r'+6.r*+..1801x'+50412B)RF: a,.1=(n + 2)y=e1+x*+C)-1RF: a2=(n+ 2) ª.1r'+|-3y:x° +..x-184.28D)n-1RF:(n+ 2Kn + 1)(n+ 2(n+1)".PAGE 1 OF 150%目。180* DownloadX Full screenSOLVE

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Find the general solution of y" – x²y' – y = 0 by power series method A) -1 RF (recurrence formula): a, = (n+ 2)(n + 1) 1 x'+ 12 504 y= a, 6. 180 B) RF: a.- -a, (n+2) + 105 -1 RF: a.. (n+2 1 y = a, +, D) n-1 RF: a..= (n+2Xn+1) a, (n+ 2(n +1) y=a 1+ + 24 ++ 6. 12 20 120 PAGE 1 OF 1 50% 目 6. 180

Find the general solution of y" – x²y' – y = 0 by power series method A) -1 RF (recurrence formula): a, = (n+ 2)(n + 1) 1 x'+ 12 504 y= a, 6. 180 B) RF: a.- -a, (n+2) + 105 -1 RF: a.. (n+2 1 y = a, +, D) n-1 RF: a..= (n+2Xn+1) a, (n+ 2(n +1) y=a 1+ + 24 ++ 6. 12 20 120 PAGE 1 OF 1 50% 目 6. 180

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Which of the following power series must be used as the nonhomogeneous part for the given initial value problem y" -y + (z+ ¥)"y = In ( + 피) y (-) = 1, y (-}) = 0 in order to obtain the solution by power series solution method? A) -1)" (z – 4)" B) -1)* (2)m (-1)"+1 (2r + 1)" 0 n! D) E1)"- (r+ 4)" (-1)" " E) > 2" (n + 1) n=1
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