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Recall: Given two functions f(t) and g(t), which are differentiable on an interval I, • If the Wronskian W(8,9)(to) #0 for so

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P-9 / Et2 2. f(t) 1. flt) = Cost 911) – Sint. lineadly Independent glt) = 6 linearly dependent. gle) = 36 C4) 3. f(E) = 9 CosP-% Et / 7 f(t) = at 9CE) = ANSWER: - Compute the wronskian of the a functions. t4 Ws at 4 E مع - 28x4 4x4 t 8 - 4 5 4 t ALS.g (6) -Sinn Sing - Sinn Schn 3) f(E) = q losat a lost a song ANSWER! fll) - 9 Cosal Cos 2 losse - Sino Cos Mt y) = Cose CosyMethada! tta a g(t) &ta = 6 E e Cameroon an a a E 6 x 36 6 = 366 36 $(6) C:fle) 266) Scalas multiple of get) linearly depenve P-A ot ++2 c6 + k 6 ta č 6+ + k 6.6 cb tk 6 x 36 6th pco C 6+ (c + 364) et 3bko. So, C-36 k=-1 c =-36 ik=1 C = -6 . We k=1P-3 tt & 2. flt) GE g(t) = 6 ANSWER! Method 1 : Compute the Wron skuan, W. / flt I fct glt) gle) otta 64 dah an loga da EtaP-2 1. flt cost 9(E) = Sinle, ANSWER: lanearly are first check the Wronskran of the two functions. If its If its non-zero theLI g are linearly a * Two functions f and Said to be eindependent of neither function is Constant multiple of the other. + k

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