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Calculus of variations problem. I want to make stationary the integral of (1+yy')^2 dx from 0 to 1. I know what the Euler-Lagrange differential equation turns out to be, but how do I interpret the limits of integration as initial conditions for the diff eq?
also, can i use laplace transforms to solve differential equations if I know a few initial conditions for y, but no initial conditions for y'?
Thanks!
also, can i use laplace transforms to solve differential equations if I know a few initial conditions for y, but no initial conditions for y'?
Thanks!