MAP 2302 Midterm: MAP 2302 FIU de Test 2
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General directions: show all essential work very neatly. computations and arguments. "equals" , of all the magic transformations, do not "box" your final results. 1. following linear constant coefficient homogeneous equations. (15 pts. ) Write down the general solution to each of the. " " denotes "implies" , and " " denotes "is equivalent to". Show me all the magic on (a) y (x) ________________________________________________________________: (10 pts. ) homogeneous linear o. d. e. with real constant coefficients is as follows: The factored auxiliary equation of a certain (m - )3(m - (1+2i))2(m - (1-2i))2 = 0 (a) (5 pts. ) Write down the general solution to the differential equation. This will be graded right or wrong!!] (b) (5 pt. ) ________________________________________________________________: (10 pts. ) f(x) = ex is a solution to the homogeneous linear o. d. e. Using only the method of reduction of order, show how to obtain a second, linearly independent solution to this equation. Show all steps of this neatly while using notation correctly.
