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In Problems 19-24, use the method of Frobenius to find at least the first four nonzero terms in the series expansion about x = 0 for a solution to the given equation for x > 0. 19. 9x2y" +9x²y' + 2y = 0 20. 2x(x-1)y" + 3(x-1)y' - y = 0

In Problems 19-24, use the method of Frobenius to find at least the first four nonzero terms in the series expansion about x = 0 for a solution to the given equation for x > 0. 19. 9x2y" +9x²y' + 2y = 0 20. 2x(x-1)y" + 3(x-1)y' - y = 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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esc ! 7 Q A Z 14. (x²-4)y" + (x + 2)y' + 3y = 0, at x = -2 15. 0³y" +0(sin)y' - (tan) y = 0, at 0 = 0 16. (x²-1)y" - (x-1)y' - 3y = 0, at x = 1 17. (x-1)²y" + (x² - 1)y' - 12y = 0, at x = 1 18. 4x(sinx)y" - 3y = 0, at x = 0 In Problems 19-24, use the method of Frobenius to find at least the first four nonzero terms in the series expansion about x = 0 for a solution to the given equation for x > 0. V 19. 9x²y" +9x²y' + 2y = 0 20. 2x(x-1)y" + 3(x-1)y' - y = 0 21. x²y" + xy' + x²y = 0 22. xy"+y' - 4y = 0 23. x²z" + (x²+x)z! -z = 0 24. 3xy" +(2-x)y' - y = 0 In Problems 25-30, use the method of Frobenius to find a general formula for the coefficient an in a series expansion 2 W S X 3 80 E D C $ 4 R F 5 V T G B PA K & 7 H 44 U N 8 J 1 ( M 9 K T ) O L P Update. Some ace available р a fir ab 41. I 42. 43. ¡ t
Transcribed Image Text:esc ! 7 Q A Z 14. (x²-4)y" + (x + 2)y' + 3y = 0, at x = -2 15. 0³y" +0(sin)y' - (tan) y = 0, at 0 = 0 16. (x²-1)y" - (x-1)y' - 3y = 0, at x = 1 17. (x-1)²y" + (x² - 1)y' - 12y = 0, at x = 1 18. 4x(sinx)y" - 3y = 0, at x = 0 In Problems 19-24, use the method of Frobenius to find at least the first four nonzero terms in the series expansion about x = 0 for a solution to the given equation for x > 0. V 19. 9x²y" +9x²y' + 2y = 0 20. 2x(x-1)y" + 3(x-1)y' - y = 0 21. x²y" + xy' + x²y = 0 22. xy"+y' - 4y = 0 23. x²z" + (x²+x)z! -z = 0 24. 3xy" +(2-x)y' - y = 0 In Problems 25-30, use the method of Frobenius to find a general formula for the coefficient an in a series expansion 2 W S X 3 80 E D C $ 4 R F 5 V T G B PA K & 7 H 44 U N 8 J 1 ( M 9 K T ) O L P Update. Some ace available р a fir ab 41. I 42. 43. ¡ t
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