(a) Sum the series y = 1+ 2x + 3x² + 4x³ + · .. , l¤| < 1.(b) If f(x) = re-z/^ over the interval 0 < x < ∞, find the mean andmost probable values of r. f(r) is the probability density of r.(c) Evaluate I = S a(d) Find the eigenvalues and normalized eigenvectors of the matrix1 2 42 3 05 0 3Are the eigenvectors orthogonal? Comment on this.

Thank you for the question. Answers for subparts a),c) and d) are given. Kindly repost the b) part…

Answered: (a) Sum the series y = 1+2x + 3x² + 4x³…

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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