Find the power series solution of the form Eo an" of the initial value problem y" + 3.ry/ – 12y = 0, y(0) = 4, y'(0) = 2. (a) In your work clearly indicate where you are applying the shifting of the sum- mation index. (b) Give the recurrence relation. (c) Find ao, a1, a2, a3, a4, a5- (d) Give the Taylor polynomial of degree 5 that approximates the solution of the initial value problem.

Find the power series solution of the form Eo an" of the initial value problem y" + 3.ry/ – 12y = 0, y(0) = 4, y'(0) = 2. (a) In your work clearly indicate where you are applying the shifting of the sum- mation index. (b) Give the recurrence relation. (c) Find ao, a1, a2, a3, a4, a5- (d) Give the Taylor polynomial of degree 5 that approximates the solution of the initial value problem.

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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