Let y be a function of x & z is a real constant. Find the series solution of (х-2) у"+8ху'+10 у%3Dх (table in front cover of textbook)

Extracted text: Let y be a function of x & z is a real constant. Find the series solution of (х-2) у"+8ху'+10 у%3Dх (table in front cover of textbook)


Extracted text: Table of Laplace Transforms This table summarizes the general properties of Laplace transforms and the Laplace transforms of particular functions derived in Chapter 10. Function Transform Function Transform F(s) af(t) + bgt) a F(s) + bG(s) sF(s) – S(0) cos kt s? F(s) – sf(0) – f'(0) sin kt " F(6) - "- s(0) – -..- f(a-1)(0) cosh kt F(s) sinh kt s2 -k2 S-a F(s -a) cos kt (s-a)? + u(t -a) f -a) ea F(s) at sin kr (s-a) + sgt - 1)dr F(s)G(s) 23 (sin kt - kt cos kt) -F'() sinkt (5² + k²jZ (-1)" F(6)(s) (sinkt + kt cos kt) 2k F(a) da M(t - a) S). period p S -a) (-1)6/a] (square wave) as 1 tanh (staircase) s(1 -ar) Г(а + 1) - |.