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I have a question showing the 'particle in a box' example of the 1-d schrodinger equation, and given the initial conditions (walls of infinite potential, zero potential inside the box) the time-independent equation reduces to d^2y/dx^2 = -k^2y, where k is a constant - my text just gives me the answer to this equation and I'm wondering whether it's possible to be solved? My mathematics only goes as far as solving simple first-order differential equations so I'm a bit lost here - I assume one seperates the variables to get (1/y)d^2y = (-k^2)dx^2, but what then?

Cheers,

Just some guy