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Solve the given ODE using the power series method. (22 + 1)y'" + xy' – 4y = 0 4. Obtain the recurrence relation. S - 2 as s + 1 as+2 = s+ 2 as s + 1 as+2 s + 2 as s +1 as+2 = S - 2 as s + 1 as +2 = 5. Determine the general solution. Use up to the 5th-degree term of the solution. y = ao (1 – 2a2 + ...) + a1( x – 1 5 2. 8 8 4. 2x2 + -) 3 .3 15 y = ao 1 + ai ... 2 8. 8 4. 15 y = ao(1+ 2x? 3 + a1 x + ... 8. 1. 1 - a0(1 + 2z° + .) + a (2 +* - + .) ... 1/2

Solve the given ODE using the power series method. (22 + 1)y'" + xy' – 4y = 0 4. Obtain the recurrence relation. S - 2 as s + 1 as+2 = s+ 2 as s + 1 as+2 s + 2 as s +1 as+2 = S - 2 as s + 1 as +2 = 5. Determine the general solution. Use up to the 5th-degree term of the solution. y = ao (1 – 2a2 + ...) + a1( x – 1 5 2. 8 8 4. 2x2 + -) 3 .3 15 y = ao 1 + ai ... 2 8. 8 4. 15 y = ao(1+ 2x? 3 + a1 x + ... 8. 1. 1 - a0(1 + 2z° + .) + a (2 +* - + .) ... 1/2

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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Solve the given ODE using the power series method. (22 + 1)y'" + xy' – 4y = 0 4. Obtain the recurrence relation. S - 2 as s + 1 as+2 = s + 2 as s +1 as+2 s + 2 as s +1 as+2 = S - 2 as s +1 as +2 = 5. Determine the general solution. Use up to the 5th-degree term of the solution. -) 1 y = ao(1 – 2a2 + ...) + a1 x – 8. 8 3 .3 15 y = ao (1 – 2x² +a - ...) + ai 3 2 8. 8 4. 15 y = ao(1+ 2x? 3 + a1 x + ... ... 8. 1. y = ao(1+ 2a? +..) + a1 1 x° + 8 ...
Transcribed Image Text:Solve the given ODE using the power series method. (22 + 1)y'" + xy' – 4y = 0 4. Obtain the recurrence relation. S - 2 as s + 1 as+2 = s + 2 as s +1 as+2 s + 2 as s +1 as+2 = S - 2 as s +1 as +2 = 5. Determine the general solution. Use up to the 5th-degree term of the solution. -) 1 y = ao(1 – 2a2 + ...) + a1 x – 8. 8 3 .3 15 y = ao (1 – 2x² +a - ...) + ai 3 2 8. 8 4. 15 y = ao(1+ 2x? 3 + a1 x + ... ... 8. 1. y = ao(1+ 2a? +..) + a1 1 x° + 8 ...
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