Question: How can I determine the parameter?

in here i am stuck and i just can check when my function in sinh cosh and sin and cos  but for  other function like tanh,coth,csch,sech,... i  can't apply and do changing variable need a special technique here which  i can't do it i try a lot to change but changing not happened i don't know and the other function will change if  change function in equation (M) and change for sech and other it will make a big problem also for this function already exist  i dont know how hundle this 

p-f.mw

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