Which of the following is the reduction (recurrence) relation obtained for n > 2 %3D using the power series around the point x = 2 of the y" + 3 y' = 0 differential equation? Зап-1 а) аn — п(п-1) -3 an-2 b) an = п(п-1) 3n an-1 с) а, — (п-1) (п-2) 3(n-1)an-1 d) an = п(п-1) 3 (п-2) аn-2 e) an п(п-1)

Which of the following is the reduction (recurrence) relation obtained for n > 2 %3D using the power series around the point x = 2 of the y" + 3 y' = 0 differential equation? Зап-1 а) аn — п(п-1) -3 an-2 b) an = п(п-1) 3n an-1 с) а, — (п-1) (п-2) 3(n-1)an-1 d) an = п(п-1) 3 (п-2) аn-2 e) an п(п-1)

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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PLEASE PROVIDE TYPED SOLUTION
How can i solve this exercise?
I know the answer is x+(1/2)(x^2)+(1/2)(x^3)+(13/24)(x^4)+(11/15)(x^5) but can you help me on verifying the answer? Somehow it matches the original equation is what I'm looking for.
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