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3354_f05_t2sol - Math 3354 Test 2 Name KEY 1 Use the...

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Math 3354 , Test # 2, Name KEY 1. Use the substitution y = x reduce to first order and solve tx = 2 x . ANSWER: c 1 + c 2 t 3 2. Solve the initial value problem y - 9 y = 0 y (0) = 2, y (0) = 0. ANSWER: e 3 t + e - 3 t 3. Find the general solution y + 4 y + 29 y = 0. ANSWER: y = c 1 e - 2 t sin(5 t ) + c 2 e - 2 t cos(5 t ) 4. Find the general solution of t 2 y + 5 ty + 4 y = 0 ( Answer must be in t ). ANSWER: y = c 1 t - 2 + c 2 t - 2 ln( t ) 5. Find the general solution of y + y + 4 y + 4 y = 0. ANSWER: y = c 1 e - t + ( c 2 sin(2 t ) + c 3 t ) cos(2 t ) 6. Find the form of a particular solution
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