Consider the following IVP: y" +y' = -cos x; y(0) = a, y'(0) = b Find the general solution. A y(x) = c, +c,e¬ – – cosx - sinx B y(x) = c,+c,e+-coshx –sinhx - sinhx 2 B 2 © y(x) = c,e-2"+cze -cosx +- 2 - sinx y (x) = c,e ¯"+c,e-+ cosx - 2 D -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,+ c,e¬+ -cosr - sinx
-cosx - -sinx
y (x) = c,+c,e¬*
+- coshx - –sinhx
2
2
c y(x) = c,e-+c,e*
1
cosx + -sinx
2
y(x) = c,e+c;e-*+-cosr -s
-2x
D
2
B.
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,+ c,e¬+ -cosr - sinx -cosx - -sinx y (x) = c,+c,e¬* +- coshx - –sinhx 2 2 c y(x) = c,e-+c,e* 1 cosx + -sinx 2 y(x) = c,e+c;e-*+-cosr -s -2x D 2 B.
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