MATH 2065 Midterm: MATH 2065 LSU s08Exam 1a
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Answer each of the questions on your own paper. Be sure to show your work so that partial credit can be adequately assessed. Credit will not be given for answers (even correct ones) without supporting work. Put your name on each page of your paper. A short table of laplace transforms and a short table of integrals is included on page 2: [15 points each] solve each of the following di erential equations. If no initial condition is speci ed, give the general solution. If an initial condition is given, nd the speci c solution satisfying that initial condition. Be sure to show all of your work. (a) y = 2y + 4t. Rewrite it in standard form as y 2y = 4t so that an integrating factor is given by (t) = e 2t. Multiplying the equation by (t) gives e 2ty 2e 2ty = 4te 2t.
