(a) Verify that y p1 = 3e 2x and y p2 = x 2 + 3x are,...
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(a) Verify that yp1 = 3e2x and yp2 = x2 + 3x are, respectively, particular solutions of y'' - 6y' + 5y = -9e2x and y'' - 6y' + 5y = 5x2 + 3x - 16.
(b) Use part (a) to find particular solutions of y'' - 6y' + 5y = 5x2 + 3x - 16 - 9e2x and y'' - 6y' + 5y = -10x2 - 6x + 32 + e2x.
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a We have y p1 6e 2x and y p1 12e 2x so y p1 6y p1 5y p1 12e 2x 36e 2x 15e 2x 9e ...View the full answer
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Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
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