12) Answer the following (5 points each): a) Prove the Principle of Superposition. That is, show that if y, and y, are t
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12) Answer the following (5 points each): a) Prove the Principle of Superposition. That is, show that if y, and y, are t
12) Answer the following (5 points each): a) Prove the Principle of Superposition. That is, show that if y, and y, are two solutions of the differential equation y"+p(t)y'+q() y = 0, then cy; +c2y, is also a solution for any constants c, and ca. b) Prove that the solutions y; = e' sin 2t and y, = e' cos 21, form a fundamental set of solutions.
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