After Verifying that the functions 1 2 satisfy the corresponding homogeneous equation of the given equation, find a particular solution of the non-homogeneous equation and then the general solution of the equation .

x²y'' + xy' + (x² - 0.25 ) y = 3x √xsinx



x> 0
y1(x) = sin (x) / √x
y2(x) = cos (x) / √x​