Explain why or why not Determine whether the
Chapter , Problem 1(choose chapter or problem)
Explain why or why not Determine whether the following statements are true and give an example or a counterexample. a. The equation y_ + 2y_ - ty = 0 is second order, linear, and homogeneous. b. The equation y_ + 2y_ - y2 = 3 is second order, linear, and nonhomogeneous. c. To solve the equation t2y_ + 2ty_ + 4y = 0, use the trial solution y = ert and find r. d. To find the particular solution of the equation y_ - 2y_ + y = et, use the trial solution yp = Aet. e. The function y = 0 is always a solution of a second-order linear homogeneous equation.
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