MATH 2850 Quiz: MATH 2850 Iowa 2850 Sp 2017 Solution to Quiz 3
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Solve: ty + 6t2y t2 = 0, y(1) = 3. Solve: (2x3y2 3x)dx + (x4y y 1)dy = 0. Use the in nite series solution method (ch 5) about the point x0 = 0 to solve the di erential equation, (x + 1)y 2y = 0. Note: you must use the in nite series method. However, this is still a relatively short problem as most terms will cancel out (so no need for induction proof/ratio test). Solve: y 3y 4y = 8t, y(0) = 5, y (0) = 3. Suppose dx dt = (x 3)(y + 2) and dy dt = 2x y. (a. ) State all critical points of this system of di erential equations (b. ) Choose 2 from the following three problems (6a, 6b, 6c). You may do more than 2 problems in which case i may substitute your unchosen problem for one of your two choices (with a penalty) if it improves your grade.
