i am waiting  about 5-10 min to get result but if my equation not satisfy the solutions i have to  remove this model and find another one so  how i can handle this?

p-test.mw

please give me a link to find the best presentation about maple? i am looking for it but nothing intrested found 

i have out come with different coieficent  i can do by hand one by one seperate them and make them equal to zero but how i can make  list of equation  with leading term is apear  too not just the equation i have to know which related the equation and leading term too, then find unkown coiefficient?

system.mw

in here the author get a good outcome i did it but i don't know where is mistake and why the result is not same

pp.mw

pp1.mw

i don't know how replace the function which remove the sign of integral even i know the author replaced by sin(t) and t and combined them like the picture but i don't know why my pdes not give me zero 

h-pde-M.mw