Well, what do you get on the LHS when you do the indicated substitution?
This arises when solving the problem of Dido,
, where C and constant
They mention that it can be solved by direct integration or by using the substitution .
The solution is given as circles of the form where d and k are constants of integration.
I don't know how to deal with that many differentials of x on the same side of the equation! I need some guidance here !