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Provide detailed step-by-step process. Don't use ChatGPT please. 3.) Show that the function, f(y)=(16y448y2+12)exp(y2/2) is an eigenfunction of the operator, B=(d2/dy2)+y2, and calculate the eigenvalue

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Provide detailed step-by-step process. Don't use ChatGPT please.

3.) Show that the function, f(y)=(16y448y2+12)exp(y2/2) is an eigenfunction of the operator, B=(d2/dy2)+y2, and calculate the eigenvalue

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