Initial-Value Problem Solved
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Solve the IVP:
y'' + 4y' +13y = 13t2 -5t +24 +e^-2t(sin 3t)
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The expert examines initial value problems solved.
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Solve
Step 1: Find the general solution to the homogenous problem where the RHS is 0.
Let . Then . This has roots . This gives the solution .
Step 2: Find a particular solution to the full problem by using suitable "guesses".
In this case, the guess will look like:
(Note: we need the "t" in front of the last term because the solution to the homogenous ...
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