d2 Let D =,D² = . be the differential operators. When determinant dt2' method is applied to the system of differential equations dx 3 2х — у+е-4*, dt dy = x – 3y – e-5t dt which of the following is the value of the determinant of coefficient matrix of the system? a) D² + 2D – 3 b) D² + 3D – 2 c) D² – D +1 d) D² + D – 2 e) D² + D – 5

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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d2
Let D =,D² = . be the differential operators. When determinant
method is applied to the system of differential equations
dx
2х — у+е-4*,
=
dt
dy
х —
= x – 3y – e-5t
dt
which of the following is the value of the determinant of coefficient matrix of
the system?
a) D2 + 2D –- 3
b) D² + 3D – 2
c) D² – D + 1
d) D² + D – 2
e) D² + D – 5
Transcribed Image Text:d2 Let D =,D² = . be the differential operators. When determinant method is applied to the system of differential equations dx 2х — у+е-4*, = dt dy х — = x – 3y – e-5t dt which of the following is the value of the determinant of coefficient matrix of the system? a) D2 + 2D –- 3 b) D² + 3D – 2 c) D² – D + 1 d) D² + D – 2 e) D² + D – 5
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