Problem 1 tlx6 points.] ] Cirele True or False? (Remember that " true" means true") There is no partial credit for this problem. You do not need to show work. always on - sin29 and y 1-cos28 are linearly independent function. True False (Gi) Ifne)- &y )- e form a fundamental set of solutions of a differential equation and ys(t) = 2e-t, then y = Ñз-Ñг is also a solution to the same differential equation. True False (iii) If n and y2 are zero at the same point in an interval I., then they cannot be a fundamental set of solutions on that interval. Assume that P and g in y"+ poy+qt)y-0 are continuous in the interval I. y, and y, are solutions of this differential equation True False (iv) If n and y2 have maxima or minima at the same point in an interval I, then they can be a fundamental set of solutions on that interval. Assume that P and q in y"+ py'+qt)y-0 are continuous in the interval y, and y are solutions of this differential equation. True False (v) n-sin() and y2-cos(t) are linearly dependent functions. True False (vi) Any first order separable differential equation is exact. True False