Question 1: ( 3 points) Select the correct statement among the four indicated below. (Only one statement is correct. No credit will be given if two or more statements are selected.) Consider the non-homogeneous equation: y\" Sy' + 6y 2 xex (A) A particular solution can be found in the form yp (x) = (Ax+ B) xe" (B) A particular solution can be found in the form yp(x) = (Ax+ B)e" (C) A particular solution can be found in the form yp(x) = x2(Ax+ B)e" (D) A particular solution can be found in the form yp (x) = (Ax+B) Question 2: ( 3 points) Select the correct statement among the four indicated below. (Only one statement is correct. No credit will be given if two or more statements are selected.) Consider the non-homogeneous equation: y\" + 4y 2 8 sin 2t (A) A particular solution can be found to be yp(t) = cos 2: (B) A particular solution can be found to be yp (t) 2 21' cos 21' (C) A particular solution can be found in the form yp(x) : x2(Ax+ B)e" (D) A particular solution can be found in the form yp (t) = (At+B)e3