midterm02_solutions - Mte idrm2 Net ID Name MATH286...

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No notes, personal aids or calculators are permitted. Answer all questions in the space provided. If you require more space to write your answer, you may continue on the back of the page. There is a blank page at the end of the exam for rough work. Explain your work! Little or no points will be given for a correct answer with no explanation of how you got it. Good luck! Problem 1. (5 points) Consider a homogeneous linear differential equation with constant real coefficients which has order 6 . Suppose y ( x )= x 2 e 2 x cos ( x ) is a solution. Write down the general solution.
Problem 2. (20 points) Find the general solution of x = parenleftbigg 1 2 2 1 parenrightbigg x .

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