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Exam 1

    Show all work: do not just give an answer.  If you use a theorem in the book, state which one(s) you are using.  Only dead sources are allowed.  Turn in this sheet with your work.  Good luck.

1. Given y'' + yy' + 2 = 0,

(a) What is the order of the differential equation?  Why?

(b) Is it linear or nonlinear?  Why?

2. Find the general solution of the differential equation y' + 2y = 2e^-t + t.

3. Find the solution to (dy/dt) = (x - 2sinx) / (ye^y).

4. Find the general solution of the differential equation y'' + 5y' = 0.

5. What is the Wronskian for te^-t and cost?

Cheers,
Craig C. Douglas

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