The functions fi(x) = 3x and f2(x) 3x3 form a fundamental set of solutions of the differential equation x y" + 3xy - 3y = 0 on the interval (0, o0). Select one: True O False The two-parameter family...

Extracted text: The functions fi(x) = 3x and f2(x) 3x3 form a fundamental set of solutions of the differential equation x y" + 3xy - 3y = 0 on the interval (0, o0). Select one: True O False The two-parameter family of solutions of the differential equation y" +9y 0 is y = c1 cos 3x + c2 sin 3x. Then, the BVP: y" + 9y = 0, y(0) = -3, y(z/2) = -3, has Select one: infinitely many solutions no solution O the only one solution with: c = -3, c2 = -3 O the only one solution with: c = -3, c2 = 3 O None of these The functions fi (x) = 3x and f2(x) = 3x-3 form a fundamental set of solutions of the differential equation xy" +3xy - 3y = 0 on the interval (0, oo). %3D Select one: True O False