Consider the following IVP: y" + y' = -cos x; y(0) = a, y'(0) = b Find the general solution. A y(x) = c,e-2 +c,e -cosr- COsr+-sinx B y (x) = c, +c,e¯+ -coshx -- sinhx 2 y (x) = c e* + -2.x + COsr--sinx y (x) = c,+c,e+-cosr -- sinx

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the following IVP:
y" + y' = -cos x; y(0) = a, y'(0) = b
Find the general solution.
A y(x) = c,e-+c,e
--cosr +-sinx
y(x) = c,+c,e¯*+-coshx -- sinhx
B
2
© y(x) = c,e+
-2x
+-cosr --sinx
2
y(x) = c,+c,e¯*+-cosr -- sinx
2
Transcribed Image Text:Consider the following IVP: y" + y' = -cos x; y(0) = a, y'(0) = b Find the general solution. A y(x) = c,e-+c,e --cosr +-sinx y(x) = c,+c,e¯*+-coshx -- sinhx B 2 © y(x) = c,e+ -2x +-cosr --sinx 2 y(x) = c,+c,e¯*+-cosr -- sinx 2
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