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LINEAR DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS AND WITH HOMOGENEOUS AND NON-HOMOGENEOUS VARIABLE COEFFICIENTS Obtain the general solution, in the homogeneous equations and in the non- homogeneous ones apply the method of undetermined coefficients. + y" + 4y' + 4y = 6 sin(3x) Answer 10 y(x) = (C, + C2)e-2x . sin 3x 169 72 cos 3x 169

LINEAR DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS AND WITH HOMOGENEOUS AND NON-HOMOGENEOUS VARIABLE COEFFICIENTS Obtain the general solution, in the homogeneous equations and in the non- homogeneous ones apply the method of undetermined coefficients. + y" + 4y' + 4y = 6 sin(3x) Answer 10 y(x) = (C, + C2)e-2x . sin 3x 169 72 cos 3x 169

Advanced Engineering Mathematics
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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sin 3x - LINEAR DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS AND WITH HOMOGENEOUS AND NON-HOMOGENEOUS VARIABLE COEFFICIENTS Obtain the general solution, in the homogeneous equations and in the non- homogeneous ones apply the method of undetermined coefficients. 4 y" + 4y' + 4y = 6 sin(3x) Answer y(x) = (C, + C2)e-2x –. cos 3x 169
Transcribed Image Text:sin 3x - LINEAR DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS AND WITH HOMOGENEOUS AND NON-HOMOGENEOUS VARIABLE COEFFICIENTS Obtain the general solution, in the homogeneous equations and in the non- homogeneous ones apply the method of undetermined coefficients. 4 y" + 4y' + 4y = 6 sin(3x) Answer y(x) = (C, + C2)e-2x –. cos 3x 169
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