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Problem 4. From order two to order three: (a) Find the general solution of y??? +...

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Advance Math

Problem 4. From order two to order three:
(a) Find the general solution of y??? + 3y?? + 3y? + y = 0.
(b) Write a differential equation given that the fundamental systemof solutions is

ex,exsinx, excosx.
(c) Compute the general solution of xy??? + y?? = x2. [Answer: C1xln x + C2x + C3 + x4 .]

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