Determine a suitable form for yp if the method of undetermined coefficients is to be used for the following ODEs with following steps: i) find the basis of the homogeneous part of the ODE, ii) look up Table 2.1 and iii) apply modification and sum rule if necessary. No need to evaluate constants.
A.) y'' + 25y = 3e-xcos(5x)
B.) y'' + 4y = x2 + 3ex
C.) 3y'' + 27y = 3cos(x) + cos(3x)
Below I have add table 2.1 that the question refers to:
Please include a detailed step-by-step for parts ii) and iii) as that is where I have been getting stuck. We are learning about solution by undetermined coefficients. Thank you!
