8.3 - Nonhomogeneous Linear Systems (Part 1)

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At 16:08, please correct me if I'm wrong, but did you substitute the constants back into the particular solution correctly? a1 = -1/3, a2 = 1/3, b1 = -3, and b2 = -2/3. Wouldn't this make the particular solution [1/3 -2/3]cost + [-1/3 -3]sint? By the way, I love your videos! They have been so incredibly beneficial, especially given that my class is using the same textbook and the professor isn't being very helpful in breaking the material down to a digestible degree. Thank you for posting these to the public!

reinasalman