Consider the following IVP: y +y = -cos x; y(0) = a, y'(0) = b Find the general solution. A y(x) = c,e+ -21 + -cosx - -sinx 2 B y (x) = c,+c,e-+-coshx - -sinhx 2 2 © y (x) = c, +c,e+- -cosr --sinx 2 2 D y (x) = c,e-2"+c,e¬. -cosr + -sinx 2 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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+
-21
+ -cosr - -sinx
y (x) = c,+c,e-+-coshx - -sinhx
2
B
2
© y (x) = c, +c,e+-cosr - - sinx
2
y (x) = c,e-2"+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+ -21 + -cosr - -sinx y (x) = c,+c,e-+-coshx - -sinhx 2 B 2 © y (x) = c, +c,e+-cosr - - sinx 2 y (x) = c,e-2"+c,e¬. COsr +-sinx 2
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