Chapter 3 Higher-Order Differential Equations
Assignment No.1
3.1.1 Initial
Value and Boundary-Value Problems
No. 3 page 115
No.
5 page 115
No. 7 page 115
No. 9 page 115
No. 13 page 115
Assignment No. 2
3.1.2 Homogeneous Equations
No.
15 page 115
No.
17 page 115
No.
21 page 115
No.
25 page 115
No.
29 page 115
Assignment No. 3
3.1.3 Nonhomogeneous Equations
No.
31 page 115
No.
33 page 115
No.
35 page 115
No.
37 page 115
No.
39 page 116
Assignment No. 4
3.2 Reduction of Order
No.
3 page 118
No.
7 page 118
No.
11 page 118
No.
15 page 118
No.
19 page 118
Assignment No. 5
3.3 Homogeneous Linear Equations w/ Constant
Coefficients
No.
7 page 124
No. 13 page 124
No.
25 page 124
No. 35 page 125
No. 39 page 125
Assignment
No. 6
3.4
Undetermined Coefficient
No. 5 page 134
No. 15 page 134
No. 29 page 134
No. 35 page 134
No. 39 page 134
Assignment No. 7
3.5 Variation
of Parameters
No. 7 page 139
No. 11 page 139
No. 17 page 139
No. 21 page 139
No. 25 page 139
Assignment
No. 8
3.6 Cauchy-Euler Equation
No.
7 page 144
No. 13 page 144
No. 21 page 144
No. 27 page 144
No. 35 page 145
Chapter 5 Series Solutions of Linear Differential
Equations
Assignment No. 9
5.1 Solution About Ordinary Points
No. 15 page 250
No. 17 page 250
No. 25 page 250
No. 29 page 250
No. 31 page 250
Assignment No. 10
5.2 Solution About Singular Points
No. 9 page 258
No. 11 page 258
No. 19 page 259
No. 23 page 259
No. 27 page 259
Assignment No. 11
5.3.1 Bessel Functions
No. 3 page 270
No. 5 page 270
No. 9 page 270
No. 15 page 270
No. 23 page 270
Assignment No. 12
5.3.2 Legendre Functions
No. 45 page 272
No. 47 page 272
Chapter 12 Orthogonal Functions and Fourier Series
Assignment No. 13
12.1
Orthogonal Functions
No. 3 page 657
No. 5 page 657
No. 9 page 657
No. 11 page 657
No. 15 page 657
Assignment No. 14
12.2 Fourier
Series
No.
3 page 663
No. 7 page 663
No. 11 page 663
No. 15 page 663
No. 19 page 663
Assignment No. 15
12.3Fourier
Cosine and Sine Series
No.
5 page 668
No. 11 page 668
No. 21 page 668
No. 27 page 668
No. 37 page 669
Assignment No. 16
12.4 Complex Fourier Series
No. 3 page 673
No. 5 page 673
No. 9 page 673
Assignment No. 17
12.5 Sturm-Liouville Problem
No. 1 page 680
No. 3 page 680
No. 7 page 681
Assignment No. 18
12.6 Bessel and Legendre Series
No. 5 page 687
No. 9 page 687
No. 15 page 687
No. 17 page 687
Chapter 13 Boundary-Value Problems in Rectangular
Coordinates
Assignment No. 19
13.1 Separable
Partial Differential Equation
No. 3 page 693
No. 5 page 693
No. 9 page 693
No. 19 page 693
No. 27 page 693
Assignment No. 20
13.2 Classical
Equations and Boundary Value Problems
No. 3 page 699
No. 7 page 699
No. 11 page 699
Assignment No. 21
13.3 Heat
Equation
No. 3 page 701
No. 5 page 701
Assignment No. 22
13.4 Wave
Equation
No. 1 page 705
No. 5 page 705
Assignment No. 23
13.5
No. 3 page 711
No. 9 page 711
Assignment No. 24
13.6 Nonhomogeneous Boundary Value Problem
No. 1 page 718
No. 7 page 718
Assignment No. 25
13.7 Orthogonal
Series Expansion
No. 1 page 722
No. 3 page 722
No. 7 page 722
Assignment No. 26
13.8 Fourier Series in 2 Variables
No. 1 page 725
No. 3 page 725
Chapter 14 Boundary-Value Problems in Other Coordinate
Systems
Assignment No. 27
14.1 Problems in
Polar Coordinates
No. 1 page 732
No. 9 page 733
Assignment No. 28
14.2 Problems in
Cylindrical Coordinates
No. 3 page 738
No. 9 page 739
Assignment No. 29
14.3 Problems in
Spherical Coordinates
No. 1 page 742
No. 5 page 742
Chapter 15 Integral Transform Method
Assignment No. 30
15.1 Error
Function
No. 1 page 749
No. 3 page 749
Assignment No. 31
15.2 Applications of the
No. 1 page 752
No. 5 page 753
No. 13 page 753
Assignment No. 32
15.3 Fourier Integral
No. 3 page 759
No. 7 page 760
No. 15 page 760
Assignment No. 33
15.4 Fourier Transform
No. 3 page 765
No. 9 page 765
Assignment No. 34
15.5 Fast Fourier Transform
No. 1 page 775
No. 5 page 775