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    Undetermined Coefficient with repeated roots

    Homework Statement The problem is: y" + 2y' - 3y = x^2*e^x Homework Equations The Attempt at a Solution I know the roots are y1 = -3 and y2 = 1, becoming e^x. I'm not sure how to set my yp up though with the repeating e^x. My ideas are yp = x * (x^2*A*e^x) or x * (Ax^2 +...
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