(Solution) - Higher Order Des Find the solutions for the following higher -(2025 Original AI-Free Solution)

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Higher Order Des: Find the solutions for the following higher order equations. Remember that for each repetition of a root, a term with an additional factor of t must be included. If a factorization of the characteristic equation f(t) = 0 is not obvious, look for a small integer q that satisfies f(q) = 0. Divide the characteristic equation by r - q?
1. y(5) - 4y(4) + 4y"' = 0
2. y"'+ 4y" - 7y' - 10y = 0