Question: how without finding mean parameters can get the solution of ode?

in here the author say the mean variable are not be zero so it can be a number he set them free variable as shown and i just find the parameter except the mean parameters like (A[0],A[1],A[2],B[1],B[2]) and replaced but i don't know how ode will be zero after substitution? how he did that i can't apply for odetest

 

 

where is problem?

find_p-sin&cos.mw

 

 

 

 

also i try to get same result as paper did but my graph after substituion is so different also why?

 

results.mw

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