2. (10 points) For each equation below, two solutions ry and r2 are given. Does (,...

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2. (10 points) For each equation below, two solutions ry and r2 are given. Does (₁, 2) form a fundamental solution set? Justify your answer. (a) t²"-2tx' + 2r=0, t > 0, (b) " + 4x = 0, 21 = cos(21), 2= cos² (t) - 4. (Hint: sin(2t) = 2 sin(t) cos(t), cos(2t) = 2 cos² (t)-1) 2. (10 points) For each equation below, two solutions ry and r2 are given. Does (₁, 2) form a fundamental solution set? Justify your answer. (a) t²"-2tx' + 2r=0, t > 0, (b) " + 4x = 0, 21 = cos(21), 2= cos² (t) - 4. (Hint: sin(2t) = 2 sin(t) cos(t), cos(2t) = 2 cos² (t)-1)

Answer rating: 100% (QA)

x 1 x 2 forms a fundamental solution set the given differentia... View the full answer