de-t2(1)

# Test2map2302 page 2 of 4 3 15 pts find a particular

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TEST2/MAP2302 Page 2 of 4 ______________________________________________________________________ 3. (15 pts.) Find a particular integral, y p , of the differential equation Do not write the general solution. ______________________________________________________________________ 4. (10 pts.) Set up the correct linear combination of undetermined coefficient functions you would use to find a particular integral, y p , of the O.D.E. [ Warning: (a) If you skip a critical initial step, you will get no credit!! (b) Do not waste time attempting to find the numerical values of the coefficients!! ]

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TEST2/MAP2302 Page 3 of 4 ______________________________________________________________________ 5. (10 pts.) The factored auxiliary equation of a certain homogeneous linear O.D.E. with real constant coefficients is as follows: Note: The plus sign in the factor ( m + ( π - i )) 2 above is a typographical error. (a) (5 pts.) Write down the general solution to the differential equation. [ WARNING: Be very careful. This will be graded Right or Wrong!! ] (b) (5 pt.) What is the order of the differential equation? ______________________________________________________________________ 6. (15 pts.) (a) Obtain the differential equation satisfied by the family of curves defined by the equation (*) below. (b) Next, write down the differential equation that the
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TEST2MAP2302 Page 2 of 4 3 15 pts Find a particular...

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