1. Solve for the series with center at 0 (Present up to 6th term): 1.1. e-2x 1.3. sin(2x – 1) 1.2. cos(3x) 1.4. 1+3x2

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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Exercise 1:
1. Solve for the series with center at 0 (Present up to 6th term):
1.1. e-2x
1.3. sin(2x – 1)
1.2. cos(3x)
1
1.4.
1+3x2
2. Provided the following matrices, solve for the following:
[-1
3
-2
1
[11
B = |-1
16
31
13
9.
C =
-7 2
31
A =
4
7
-9
10
8.
-4
2
8
-3
-1.
1
-2
-7
10
-3-
-6
2
18
20
7
-8
E =
4
15
6
F =
9
-1
8.
D = |-18
-2
7
-14.
7
-10
-1
-4
3
1
3
-4
2.1. [A] x [C]
2.5. Classical adjoint of [B]
2.2. [E]" x [C]"
2.6. [E] x [B]¯1
2.3. [F] x [D]
2.7. [B]x [B]"
2.4. Cofactor of 9 in [D]
Transcribed Image Text:Exercise 1: 1. Solve for the series with center at 0 (Present up to 6th term): 1.1. e-2x 1.3. sin(2x – 1) 1.2. cos(3x) 1 1.4. 1+3x2 2. Provided the following matrices, solve for the following: [-1 3 -2 1 [11 B = |-1 16 31 13 9. C = -7 2 31 A = 4 7 -9 10 8. -4 2 8 -3 -1. 1 -2 -7 10 -3- -6 2 18 20 7 -8 E = 4 15 6 F = 9 -1 8. D = |-18 -2 7 -14. 7 -10 -1 -4 3 1 3 -4 2.1. [A] x [C] 2.5. Classical adjoint of [B] 2.2. [E]" x [C]" 2.6. [E] x [B]¯1 2.3. [F] x [D] 2.7. [B]x [B]" 2.4. Cofactor of 9 in [D]
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