Consider the initial value problem Ÿ' = AŸ for 6 -4 4 A = -1 3 with Y (0) = -1 1 7 -1 (a) Verify that form bases for eigenspaces of A. What are the corresponding eigenvalues? (b) Find a general solution to the differential system (c) Solve the intial value problem.

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A: Here, the eigen values are: λ1=5λ2=3

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A: Given: u''x=ex, for 0&lt;x&lt;1 Integrate on both sides as, ∫u''xdx=∫exdxu'x=ex+C1…

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A: We can solve this as follows:

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A: The given differential equation ia,y'''-12y''+48y'-64y=12-32e-4t+2e4t

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