Given the differential equation y" + 4y' - 12y = 10x2 + 7 And the Solutions to its Characteristic Equation Characteristic Solutions: R, = -6 and R, = 2 (1) Determine the General Form of the Particular Solution, and (2) Write the General Solution for the Particular Side of the Differential Equation. (A) y, = Ax2 + Bx + C (B y, = - 6Ax? + 2B 10x2 + 7 D YP = [Ax? + Bx + C]e-6x

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