Consider the differentia equation y" – 2xy = 0. By using power series solution about the ordinary point 0 we obtain: | O c_(k+2)=(2c_(k-1))/(k+2)(k+1) ;k=0,1,2.. c_(k+1)=(2c_(k))/(k+2)(k+1) ;k=1,2,3,. O None of them c_(k+2)=(2c_(k-1))/(k+2)(k+1) ;k=1,2,3,.
Consider the differentia equation y" – 2xy = 0. By using power series solution about the ordinary point 0 we obtain: | O c_(k+2)=(2c_(k-1))/(k+2)(k+1) ;k=0,1,2.. c_(k+1)=(2c_(k))/(k+2)(k+1) ;k=1,2,3,. O None of them c_(k+2)=(2c_(k-1))/(k+2)(k+1) ;k=1,2,3,.
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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Transcribed Image Text:Consider the differentia equation y" – 2xy = 0. By using power series solution
about the ordinary point 0 we obtain:
|
O c-(k+2)=(2c_(k-1))/(k+2)(k+1) ;k=0,1,2..
c_(k+1)=(2c_(k))/(k+2)(k+1) ;k=1,2,3,.
O None of them
c_(k+2)=(2c_(k-1))/(k+2)(k+1) ;k=1,2,3,.
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