Someone can help me fix this partial differential equation problem? It's about the bessel equation and the series of it.

14. The Bessel equation of order zero-is 11y"+xy' +x2y = ti. (a) Show thatx = t} is a regular singular point. (In) Show that the roots of the indieial equation are n = r: = ti. to) Show that one solution for x er [I is r 0'3 __1 n In Ju'lx} I 1 + 2 gang\"; . HI} (ti) Show that the series for Intel converges for all x. The t'unetion J\" is known as the Bessel function of the rst kind of order zero. 1