How to plot a dynamical system as x' = f(x,y,z) , y'=g(x,y,z) . z'=h(x,y,z) ?

e.g.    x'=(x z )/y - x - 1

         y'=x y - 5 x z + y

         z'=( x z^3 )/y+( z^2)/y+6z

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