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M251ex2(fa00)

M251ex2(fa00) - BE SURE TO WRITE YOUR NAME SECTION AND...

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BE SURE TO WRITE YOUR NAME, SECTION, AND SOCIAL SECURITY NUMBER ON THE FRONT PAGE. MATH 251 MIDTERM EXAMINATION II November 1, 2000 The exam consists of 6 problems. The work involved in solving the problems of the exam has to be fully shown in order to get partial credit. No points will be assigned to problems with an unjustified answer, even if correct. Please, show all your work clearly and neatly. The point value for each question is in parantheses to the right of the question number. THE USE OF CALCULATORS DURING THE EXAMINATION IS FORBIDDEN. CHECK THE EXAMINATION BOOKLET BEFORE YOU START. THERE SHOULD BE ?? PROBLEMS ON ?? PAGES (INCLUDING THIS ONE).

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MATH 251 MIDTERM EXAMINATION II PAGE 2 1. (16 pts.) The function y 1 ( t ) = t 3 is a solution of the differential equation t 2 y 00 - 6 y = 0 , t > 0 . Find a second solution of this differential equation.
MATH 251 MIDTERM EXAMINATION II PAGE 3 2. (20 pts.) a) Find the general solution of the differential equation y 00 - 6 y 0 + 9 y = 3e 2 t .

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M251ex2(fa00) - BE SURE TO WRITE YOUR NAME SECTION AND...

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