A characteristic equation has the following solutions: m1 = 3 – 2i, m2 = 3+ 2i What is the general solution of the corresponding homogeneous linear equation with constant coefficients? O y = c1 (3 + 2i) e* + c2 (3 – 2i) e* O y = c1 cos(3 2i)a + c2 sin(3+ 2i)x O y = e3 (c1 cos 2x + c2 sin 2æ) O y = e2 (cı cos 3x + c2 sin 3x)
A characteristic equation has the following solutions: m1 = 3 – 2i, m2 = 3+ 2i What is the general solution of the corresponding homogeneous linear equation with constant coefficients? O y = c1 (3 + 2i) e* + c2 (3 – 2i) e* O y = c1 cos(3 2i)a + c2 sin(3+ 2i)x O y = e3 (c1 cos 2x + c2 sin 2æ) O y = e2 (cı cos 3x + c2 sin 3x)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A characteristic equation has the following solutions:
m1 = 3-2i, m2 = 3+2i
What is the general solution of the corresponding homogeneous linear equation with constant
coefficients?
O y = c1 (3 + 2i) e + c2 (3- 2i) e
wwww
O y = c1 cos(3- 2i)x + c2 sin(3 + 2i)x
3r
O y = e (cı cos 2x + c2 sin 2a)
O y = e2 (cı cos 3x + c2 sin 3x)
bp
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