MA 265 Midterm: ERG_265_-_test_1 Fall 2015
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Egr 265, math tools for engineering problem solving. Also, state if they are linear or non-linear. (a) y + y . Find the values of the constant c for which the function y = c equation x. Warning: this de is neither separable nor linear, thus we don"t have a method to systemat- ically nd its solutions. xy + 3y = x2y2. Below the direction eld for y = (y x)2 is given. (a) sketch the solution y(x) of y = (y x)2 with initial value y(0) = 0. (note: do not try to solve the de! Our methods won"t work. ) (b) use the direction eld to guess the solution of the ivp y = (y x)2, y(1) = 0. Verify that your guess does indeed solve the ivp. Y2 cos x = 0, y( /2) = 1. Find the explicit solution of the ivp xy + y = xex.
