Find the roots of the auxiliary equation for the

Question

Consider the nonhomogeneous Cauchy-Euler DE

x²y" - 5xy' + 8 y= 8x⁶

a. Find the roots of the auxiliary equation for the homogeneous solution, listed in increasing order

b. Using a and b for the constants, the homogeneous solution is

c. Using Variation of Parameters, the particular solution is

d. Using a and b for the constants of integration associated with the homogeneous solution, find the general solution. You may need to switch a and b to get WeBWorK to accept the answer.