Problem 3 (30 points). Classify the linear suspension; (*)...........x" (t) + 10x'(t) + 21x(t) = 0; x(0) = 2 = x'(0). Solve (*) in 3 ways by (1) Finding a basis of W:={ x(t) | x''(t) + 10x' (t) + 21x(t) = 0}. (2) Reduction of order. (3) Using the Laplace transform.