Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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3.) Given that y, (t) = (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.
c.) True or False: y,(t) = (t + 3) · e – 2 is also a solution of the equation
d.) True or False: y,(e) = (t + 1) - e' is also a solution of the equation
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Transcribed Image Text:3.) Given that y, (t) = (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. c.) True or False: y,(t) = (t + 3) · e – 2 is also a solution of the equation d.) True or False: y,(e) = (t + 1) - e' is also a solution of the equation
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