Which of the following is the general solution to the differential equation?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Differential Equations

Consider the differential equation y" + 4y' + 29y = 0. Note that the methods described in the videos give rise to the two values
m1 = 2+ i5 and m, = 2 – i5. Which of the following is the general solution to the differential equation?
OA. y = ce(2+i5)a + czxe(2+i5)z
OB. y = ce2" (cos(5x) + sin(5æ))
C. y = ce2" + czeš
D. y = cie2" cos(5x) + cze2" sin(5x)
Transcribed Image Text:Consider the differential equation y" + 4y' + 29y = 0. Note that the methods described in the videos give rise to the two values m1 = 2+ i5 and m, = 2 – i5. Which of the following is the general solution to the differential equation? OA. y = ce(2+i5)a + czxe(2+i5)z OB. y = ce2" (cos(5x) + sin(5æ)) C. y = ce2" + czeš D. y = cie2" cos(5x) + cze2" sin(5x)
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