MAP 2302 Midterm: MAP 2302 FIU Exam 214k
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Prof. s. hudson: [10 pts] find the orthogonal trajectories to the family of curves cx2 + y2 = 1, [15 pts] answer true or false. You do not have to explain, unless you think some part is ambiguous. The wronskian of x sin(x) and x cos(x) is nonzero for all x. The wronskian of ex and e2x is nonzero for all x. The uc set of x2 sin(x) contains exactly 6 functions. If a free undamped motion satis es x(t) = 3 sin(5t) + 4 cos(5t) then it oscillates with an amplitude exceeding 4. 32101. If a free damped motion satis es x +2x +8x = 0, then it is under-damped and oscillatory: [15 pts] find the general solution of y + y = sec3(x) by variation of parameters. I"d suggest the shortcut (v1 = r f y2 a0w etc). 4a) [15 pts total] find the general solution y(t) of y .
