MATH 240 Midterm: MATH 240 KSU Exam1 Summer2010
15 Feb 2019
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You can use a calculator and 8. 5 11 sheet of hand written note (both sides). Detail work must be shown for the full credit. (10)problem. 1. Find all the solution to the di erential equation dy dx xy x2 + 1. 3x2 tan(y) + 1 (cid:0)x3 sec2(y) 1(cid:1) dy dx. Find all solutions to the equation ex dy dx. Find all solutions to the equation dy dx 4y = xy3. 21p. (a) find the equilibrium points of the equation. Sketch the several solution curves indicating the threshold. Also classify the equilibrium points as stable or unstable. 5 (b) if p (0) = 6 nd the limits. Suppose p (t) represents population of sh in a lake in thousands. what is the fate of the population of the sh in the lake if the current population of the sh is 1500? (d). Express the following in the form of a + bi.
