Show that the change of variables y = x/2u trans- forms the differential equation y"+(1-) -0 3 y 0 4x2 into the Bessel equation x?u" + xu' + (x2 - 1)u = 0 and thereby write the general solution to the given dif- ferential equation.

Consider the differential equation x²y" – 3xy' + 3y = 2a* sin(x) whose complementary equation has fundamental solution set {x, x³}. Use variation of parameters to find the general solution to the differential equation.