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ll ordinary points of the DE (0.5x²+2x+25)y"- the DE from 2a, find a lower bound for the radius of 00 tions y=[cx" about the ordinary point x = 0. n=0

ll ordinary points of the DE (0.5x²+2x+25)y"- the DE from 2a, find a lower bound for the radius of 00 tions y=[cx" about the ordinary point x = 0. n=0

Advanced Engineering Mathematics
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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Could you please solve question 1 and 1b? "2a" is number 2. 

1. Find all singular and all ordinary points of the DE (0.5x²+2x+25)y"+xy'+y=0 1b. Without solving the DE from 2a, find a lower bound for the radius of convergence for the power series solutions y=Σcx" about the ordinary point x = 0. n=0 2. For the DE _y"+ 3xy'=0, assume a series solution y=Σcx" about the n=0 ordinary point x= 0. Show all the work needed to find the recursive formula for the coefficients. Cn.
Transcribed Image Text:1. Find all singular and all ordinary points of the DE (0.5x²+2x+25)y"+xy'+y=0 1b. Without solving the DE from 2a, find a lower bound for the radius of convergence for the power series solutions y=Σcx" about the ordinary point x = 0. n=0 2. For the DE _y"+ 3xy'=0, assume a series solution y=Σcx" about the n=0 ordinary point x= 0. Show all the work needed to find the recursive formula for the coefficients. Cn.
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