Use undetermined coefficients to solve the nonhomogeneous equation ″+11′+28=^(5)++4

a) Write the characteristic equation of the associated homogeneous part by using the variable .
b) Write the solution the associated homogeneous part, by using arbitrary constants 1 and 2 for 1 and 2. (Note that: the order of the solutions are very important. You should write first 1 such that 1(−1/4)= and second 2 such that 2(−1/7)=.)

c) Write the form of the any particular solution (we are using ,, etc. for undetermined coefficients for the correspoding functions in in the SAME ORDER.):
and evaluate its derivatives and then found ″
d) Thus evaluate the undetermined coefficients
e) Finally write the general solution y=