Question: Autonomous System

I have 5 term which each term includes three function of time (autonomous system ), i want to obtain time derivative of each term as other terms for example if i define each term as a dimensionless variable , e.g.  x , y , z , v , w , i want to know dx/dt = as  x , y , z , v , w.

 

 

i differentiate each term but i dont know how to obtain each differentiated term as other terms

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