QUESTION 7 Consider the initial value problem d2 (2x2 - 6x)y + (x + :93 dXZ dX Using an existence and uniqueness theorem for second order linear differential equations, select the TRUE statements. + (x2 + 2)y= o, y(1) = o. (%(1) = 1 C] A unique solution exists for X E (0.2) C] A solution exists throughout the interval X E ( _ 00' 00) E] The problem has a solution C] . , . A unique solution eXIsts for X 6 (1' co)