Find the first three nonzero terms, or as many as exist, in the series expansion about x=0 for a general solution to the given equation for x>0. xy" + (1- x)y' -y = 0 The equation has a general solution in the form c,Y1 (x) + Csy2(x) where y, (x) is obtained from the root of the associated indicial equation with the largest real value. If the second solution has a term with y, (x), then count that term as only one term. Y1() = D+ --- and y2(x) = D + -
Find the first three nonzero terms, or as many as exist, in the series expansion about x=0 for a general solution to the given equation for x>0. xy" + (1- x)y' -y = 0 The equation has a general solution in the form c,Y1 (x) + Csy2(x) where y, (x) is obtained from the root of the associated indicial equation with the largest real value. If the second solution has a term with y, (x), then count that term as only one term. Y1() = D+ --- and y2(x) = D + -
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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