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3 cards from this section. Quick, good the night before a test.
Define a linear non-homogeneous recurrence equation.
Consider how terms are related.
What represents associated homogeneous equations?
Focus on just the previous terms.
What is the purpose of forming the associated homogeneous equation?
Reflect on simplifying the original equation.
True or False: A particular solution can be found by simply stating a number.
Consider what defines a solution.
Solve the recurrence relation T(n) = 2*T(n-1) + F(n) where F(n) is n^2. Describe your steps in detail.
Focus on the structure of F(n) and adjust your guesses appropriately.
If F(n) = 5*n^3 and the homogeneous solution has repeated roots, determine the particular solution.
Link the degree of F(n) to the possible multiplicity adjustment.
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