2. Order Cauchy Euler Differential Equations are of the format
x^2*y” + b*x*y’ + c*y=f(x)
Homogeneous solutions are linear combinations of format c1*x^m1 + c2*x^m2 where m1 and m2 are zeros of a corresponding char. equation.
Good news for TI89 users:
This type of Differential Equation can now be solved step by step using Differential Equation Made Easy at http://www.ti89.com/?a=DEQME