MATH 216 Midterm: Math 216 f16s1
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This sample exam is provided to serve as one component of your studying for this exam in this course. Please note that it is not guaranteed to cover the material that will appear on your exam, nor to be of the same length or di culty. In particular, the sections in the text that were covered on this exam may be slightly di erent from those covered by your exam. This material is (c)2016, university of michigan department of mathematics, and released under a creative commons by-nc-sa 4. 0 international license. It is explicitly not for distribution on websites that share course materials. Solution: this is linear and not separable, so we must use an integrating factor. The equation may be rewritten as y + sin(t) cos(t) y = sin(t), so the integrating factor is = er sin(t) cos(t) dt = e ln(| cos(t)|) = 1/ cos(t) (we may drop the.
