Advanced Search

Question: Trying to Integrate a functional derivative under the Physics packages (the brachistochrone problem)

Question:Trying to Integrate a functional derivative under the Physics packages (the brachistochrone problem)

lemelinm 1535 Maple
calculus-of-variations brachistochrone physics
September 05 2022
0

After loading the Physics package, I have define the langragian L this way:

L:=sqrt((1+(y')^2)/y)

After some algebra, I get the following integral:

((1+(y'(x))^2)^(-1)*1/y(x) = C

At that stage, I would like to isolate the term y'(x) and do the change of variable. But since I am under the Physics package, I try to isolate it with no succes and worst if I try to change the variable first. A little help would be appreciate.

Thank you in advance

Mario

Maple 2022 under Windows
Please Wait...