MATH 240 Midterm: MATH 240 KSU Test 3s01
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. X + 3x = 3 (t 1) x(0) = 0. 2: use laplace transforms to solve x + 9x = sin(t) x(0) = 1 x (0) = 0. 3: solve by power series at x0 = 0. 4: use laplace tranforms to solve x = x + y y = x y x(0) = 1 y(0) = 0. 5: suppose we have solved (x2 + 3)y radius of convergence, if we worked about x0 = 0. Give a lower bound on the: if we worked about x0 = 1.
