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12) Consider the differential equation y" + a1(x)y' + ao(x)y = 9 sin(7x) And suppose that Y1 = x Y2 = x¯ are linearly independent solutions of the associated homogeneous differential equation. Then a particular solution of this differential equation is given by

12) Consider the differential equation y" + a1(x)y' + ao(x)y = 9 sin(7x) And suppose that Y1 = x Y2 = x¯ are linearly independent solutions of the associated homogeneous differential equation. Then a particular solution of this differential equation is given by

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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12b)

12) Consider the differential equation y" + a1(x)y' + ao(x)y= 9 sin(7x) And suppose that Y1 = x Y2 = x° are linearly independent solutions of the associated homogeneous differential equation. Then a particular solution of this differential equation is given by a) Yp = -0.0262 Cos(7z) b) Yp = -0.1837 sin(7x) Cos(7z) c) Yp = -0.1837 sin(7x) – 0.0262-
Transcribed Image Text:12) Consider the differential equation y" + a1(x)y' + ao(x)y= 9 sin(7x) And suppose that Y1 = x Y2 = x° are linearly independent solutions of the associated homogeneous differential equation. Then a particular solution of this differential equation is given by a) Yp = -0.0262 Cos(7z) b) Yp = -0.1837 sin(7x) Cos(7z) c) Yp = -0.1837 sin(7x) – 0.0262-
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