Consider the following IVP: y" + y' = -cos x; y(0) = a, y'(0) = b Find the general solution. @ y(x) = c,e=2'+cge¯ -cosr+ -sinx 2 2 B y(x) = c,+c,e+coshx -sinhx 2 y(x) = c, +c,e¯*+-cosr -sinr 2 2 O y(x) = c,e+c,e - 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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Question 1
Consider the following IVP:
y" +y' = -cos x; y(0) = a, y'(0) = b
Find the general solution.
Ay(x) = c,e-2+c,e-
-cosx+ -sinx
2
2
By(x) = c,+c,e-+-coshx - - sinhx
2
2
© y(x) = c,+cge+
cosx - -sinxr
2
2
-2x
D y(x) = c,e+c,e-+cosx
-sinx
2
2
Transcribed Image Text:Question 1 Consider the following IVP: y" +y' = -cos x; y(0) = a, y'(0) = b Find the general solution. Ay(x) = c,e-2+c,e- -cosx+ -sinx 2 2 By(x) = c,+c,e-+-coshx - - sinhx 2 2 © y(x) = c,+cge+ cosx - -sinxr 2 2 -2x D y(x) = c,e+c,e-+cosx -sinx 2 2
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