thanks for the reply and links. would you by any chance have en example of the calculations for solving using ND solve that i can have a look at? or a more in depth discription? in the second link do you put the kineic and potential energy equations into L(x,y,
,?)=f(x,y,
)??(g(x,y,
)?c) and simplify? then find the gradiant? would the next step just be placing the constants into the three equations and solving the simultaneous equation for a t value?