Let k1, k2 be constants and consider the ODE y" – (k, + k2)y' + k, k2y = f(x), whose auxiliary equation has roots k = -2 and k2 -2. Suppose %3D f(x) = 4e2. Choose a particular integral y, from those below. Select one: O a. y, = e 2 (a sin(x) + b cos()) for any constants a, b. O b. Yp -2z for any constant a. = axe O C. Yp for any constant a. = ae O. d. Yp ar'e-2z for any constant a. = e 2= (azx?+aj¤ + ao) for any constants ao, a1, a2. O e. Yp

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