How can I solve the equation y'' = -H(y) in Matlab where H is the heaviside step function and y(-1) = 0, y'(1) = 0?

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Edward Boyd on 26 Feb 2015

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Edited: Matt J on 26 Feb 2015

How can I solve the equation y'' = -H(y) in Matlab where H is the heaviside step function and y(-1) = 0, y'(1) = 0?

If you can help you will have my eternal gratitude!

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Matt J on 26 Feb 2015

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Edited: Matt J on 26 Feb 2015

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I would solve 2 cases

 (1) y''=-y  %valid where y>0
 (2) y''=0   %valid where y<0

and then look retroactively at regions of t where each solution y(t) satisfies y''=-H(y).

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