undetermined coefficients,
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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Question
Transcribed Image Text:If we use the method of undetermined coefficients, the particular solution
of the following differential equation
y(3) + y' = 3+ 2cos (x)
has the form
Yp (x) = Ax + Bx cos(x)
Yp(x) Ax5 + Bx* + €x³
+Cx sin (x)
Dx cos(x) | Ex sin (x)
O This option
O This option
Yp (x) Ax + Bx + Dx cos (x)
y, (x) = (Ax² + Bx)cos(x)
+Ex sin (x)
+(Cx² + Dx) sin (x)
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