Question: Please see attached image: a. Given that y1(x) = 3x is a solution, apply the reduction of order method to find another solution y2 for
Please see attached image:

a. Given that y1(x) = 3x is a solution, apply the reduction of order method to find another solution y2 for which y and y2 form a fundamental solution set. i. Starting with y1, solve for w in yiw + (2y, + p(t)y1)w = 0 so that w(1) = -1. w(I) = (2-2x) -e ii. Now solve for u where u' = w so that u(1) = 5. (2-2x) u(I) = N / iii. Finally, write down y2 using the u that you found. (2-2x) 32 (I) = (3x) b. Find the particular solution corresponding to the initial conditions y(9) = -4 and y'(9) = -3. Give your answer as y =... . Answer: Answers Attempt 3 of 3
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