5: Given that x 2, x, x 2 Inx, and " solve xy'' + 6x y" + 4xy' - 4y = 0 for x E (1, 00). (a) Consider the following statements regarding the above differential equation on (1, co). (i) {x, ", x 2) is a fundamental set of solutions. (ii) {nx , mx, x" In(kx); is a fundamental set of solutions. (ii) {x, x 2 Inx, "} is a fundamental set of solutions. (iv) {x 2, x, x Inx, } is a fundamental set of solutions. (v) {nx 2, mx, kx"Inx} is a fundamental set of solutions. (vi) {x 2, x, x Inx} is a fundamental set of solutions. Determine which of the above statements are True (1) or False (2). So, for example, if you think that the answers, in the above order, are True, False, False, True, False, True then you would enter '1,2,2,1,2,1' into the answer box below (without the quotes). (b) Find the solution to the initial value problem youx3 + 6x- y" + 4xy' - 4y = 0, y(1) = 0, y'(1) = 1, y"(1) = 0