#Schrödinger's Equation

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summer zealotBOT
burnt crystal
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Are you looking for solutions to the differential equation y'' + ky = 0?

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Think about the solution to y''= 2x. If you said it was x^2, that answer is incomplete because it could have been x^2 + 5, or many other possibilities. So you write x^2 + c to account for all the possible answers.

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This works the same way.

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sin(x) comes from the fact that its second derivative is the negative of itself. cos(x) too. The k is there to account for the k^2 in the original equation.