Solving a Particular solution to an Ordinary Differential equation
See attached problem. PLEASE NOTE!!! I have noted in the problem statement that I have solved the homogeneous portion of the differential equation, and I need assistance in solving for the particular solution and finally the whole solution. I have gotten 2 responses from other OTA’s that are as follows:
“The point is that you have NO NEED to solve the differenmtial equation – because you are already given the answer.
All you have to do is to use the answer for M_S to calculate M_N (from the second equation), then differentiate M_S with respect to t, substitute all you got in the differential equation and show that it is satisfied.
Do not forget to check the M_N (0) = M_ (0) = 0 condition.”
I HAVE ALREADY ASKED MY INSTRUCTOR, AND THIS IS INSUFFICIENT!! What I need is help on how to solve the particular solution, not this shortcut answer. Thank you!