08SpringHwk04 - Math 3301 Homework Set 4 10 Points Real,...

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Unformatted text preview: Math 3301 Homework Set 4 10 Points Real, Distinct Roots 1. Find the general solution to : 6 y - 3 y - 14 y = 0 . 2. Solve the following IVP 4 y + 9 y - 9 y = 0 3. Solve the following IVP. y ( 0 ) = -1, y ( 0 ) = -4 y + 7 y = 0 y ( -2 ) = 17, y ( -2 ) = 1 4. Solve the following IVP in terms of and determine the value of for which the solution will stay finite at t . y - 4 y - 12 y = 0 Complex Roots 5. Solve the following IVP. y ( 0 ) = 7 + , y ( 0 ) = 1 - 4 144 y - 96 y + 25 y = 0 y ( 4 ) = 0, y ( 4 ) = -6 6. Determine the smallest positive value of t for which the solution to the following IVP is zero. y - 14 y + 50 y = 0 Double Roots 7. Solve the following IVP. y ( 0 ) = 4, y ( 0 ) = 7 9 y + 6 y + y y ( 3) = 0, y ( 3) = 1 8. Is the solution to the following IVP ever zero? If so, for what value(s) of t will the solution be zero? y - 20 y + 100 y = 0 y ( 0 ) = -6, y ( 0 ) = 3 ...
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