MATH 240 Midterm: MATH 240 KSU Test 1s01
15 Feb 2019
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If you must continue your work outside the space provided, please give instructions in the space provided as to where the continuation is found. Implicit solutions and solutions involving intractible integrals are permitted. You will, however, loose credit if standard techniques from algebra or calc ii would yield an explicit solution. You may use calculators, but the exam is designed so that lack of a calculator will not be a hardship. 2: solve dy dx y2 + xy + x2 x2 y(1) = 1. 3: solve ex y + 2yy xy = 0. 4: consider the initial value problem y = x x2 + y2 y(1) = 1. Approximate y(1. 1) by using a single step of improved euler"s method with step size h = . 1. 5: a) sketch the solutions to dp dt. 6: solve y y = xy3. 8: identify each of the following, but do not solve.
