the differential equation y"'-y''=8x^2. I know after solving the homogeneous part of the equation you get that 1 and 0 are roots of the equation. I know for the 8x^2 you're supposed to substitute the constant for a variable then that would be Ax^2 and that i have to derive three times, My question is, after i derive three times what would i do with the second and the first derivative? there isn't any y'' or y' where to replace that in the original equation. Thanks you very much!
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