d. y' - y = 2cos x with y(π) = 0 Yo (x) = et Yp (x) = e(-cos(x) + sin(x)) + C y (x) = -cos(x) + sin(x) + C.et

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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Solve the following IFOLDES (for the specific solution as indicated) using the particular solution method. For each question you need to enter:
The solution to the homogeneous equation, omit any multiplicative constant here.
The particular solution with its constants determined.
The general solution in the form C-yo (x) + Yp (x).
The general solution after applying the given condition.
Transcribed Image Text:Solve the following IFOLDES (for the specific solution as indicated) using the particular solution method. For each question you need to enter: The solution to the homogeneous equation, omit any multiplicative constant here. The particular solution with its constants determined. The general solution in the form C-yo (x) + Yp (x). The general solution after applying the given condition.
d. y' - y = 2cos x with y(π) = 0
Yo (x) =
et
Yp (x) = ex-cos(x) + sin(x)) + C
e¯*(−cos(x)
y (x) = -cos(x) + sin(x) + C. et
y (x) =
(-π+x)
e
+ sin(x) - cos(x)
Transcribed Image Text:d. y' - y = 2cos x with y(π) = 0 Yo (x) = et Yp (x) = ex-cos(x) + sin(x)) + C e¯*(−cos(x) y (x) = -cos(x) + sin(x) + C. et y (x) = (-π+x) e + sin(x) - cos(x)
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