3.) Given that y, () = (t + 2)- e' and y,t) = e - 2 are both solutions of a certain second order homogeneous linear differential equation: y" + Ay' + By = 0 Answer each question below. For each true/false question, state a brief reason that justifies your answer. a.) Show that these two solutions are linearly independent. b.) True or False: y, and y, form a fundamental set of solutions of this equation.

3.) Given that y, () = (t + 2)- e' and y,t) = e - 2 are both solutions of a certain second order homogeneous linear differential equation: y" + Ay' + By = 0 Answer each question below. For each true/false question, state a brief reason that justifies your answer. a.) Show that these two solutions are linearly independent. b.) True or False: y, and y, form a fundamental set of solutions of this equation.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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