- #1
Quadruple Bypass
- 120
- 0
Homework Statement
This is a problem that the book uses as an example and I've been trying since friday to get the same answer but i have not had any success, i need help :(
Well in this problem, F = y(1+(y')^2)^1/2
Homework Equations
eulers eqn
d/dx(partial(F)/partial(y')) - (partial(F)/partial(y)) = 0
The Attempt at a Solution
i get up to
d/dx[y*y'/(1+(y')^2)^1/2)] - (1+(y')^2)^1/2 = 0
but then the book loses me after doing some kind of reduction without showing the steps in between.
after the reduction, they get: y*y"-((y')^2) -1 = 0
could someone help me out with what they did in between? any help is appreciated