Question: Please solve question 19 In each of Problems 38 through 42, a differential equation and one solution y, are given. Use the method of reduction

Please solve question 19

Please solve question 19 In each of Problems 38Please solve question 19 In each of Problems 38
In each of Problems 38 through 42, a differential equation and one solution y, are given. Use the method of reduction of order as in Problem 37 to find a second linearly independent solution U2 . 38. Ty"t xy'- 9y =0 (x > 0); "(x) =23 39. 4y" - 4y'ty =0; y(x) = ex/2 40. pay"-x(x+ 2)y't (x+ 2)y =0 (x >0); y(x) =1 41. (x+1)y"-(x+2)y'ty=0 (x>-1); y(x)=e 42. (1 -x?)y"+ 2xy'- 2y =0 (-1

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