find the coefficients ao. ..., an for N at least 7 in the series solution y=[an(z-to)" n=0 of the initial value problem. Take to to be the point where the initial conditions are imposed. 20. C (1+2x)y'-(1-2r)y'-(3-2r)y= 0, y(1) = 1, y(1) = -2 21. C (5+2x)y'-y + (5+x)y=0, y(-2)=2, y'(-2) = -1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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find the coefficients ao. an for N at least 7 in the series solution
****
y = Σan(x-xo)"
n=0
of the initial value problem. Take to to be the point where the initial conditions are imposed.
20. C (1+2x)y"-(1-2r)y'-(3-2r)y= 0, y(1) = 1, y' (1) = -2
21.
C (5+2x)y" -y +(5+x)y=0, y(-2)=2, (-2) = -1
Transcribed Image Text:find the coefficients ao. an for N at least 7 in the series solution **** y = Σan(x-xo)" n=0 of the initial value problem. Take to to be the point where the initial conditions are imposed. 20. C (1+2x)y"-(1-2r)y'-(3-2r)y= 0, y(1) = 1, y' (1) = -2 21. C (5+2x)y" -y +(5+x)y=0, y(-2)=2, (-2) = -1
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