I don't understand Bessel equation , please can you give a step by step

the resulting series with known functions. 2. Show that each of the following is a form of Bessel's equation and obtain the solution in terms of Bessel functions, Hint: Begin by writing Bessel's equation with independent variable u and dependent variable . Then rescale both of them in the following way: u - Cr" and y= x"f, where o, 8, and ( are constants. Use the chain rule to compute y = dy do and y" = d'y/dr in terms of f and u. If you work this out correctly, you should find that the equations below are special cases for particular values of a. . ( and in. If you are still stuck. see Handy Hint 13 for the derivation and Handy Hint 14 for some further worked examples: (c) zy t 20 by+ 7 0