1. The problem statement, all variables and given/known data A point in a mechanics problem where I have to solve the ODE (dS/dx)^2 + mw^2x^2 = a where m,w^2 are constants 2. Relevant equations 3. The attempt at a solution Hi everyone, We haven't actually covered how to solve these in my ODEs class yet (obviously my mechanics lecturer doesn't know this!!). Please could someone point me in the right direction as to how to start it? Thanks for any help!