Preview Higher Order Ordinary Differential Equations

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Maths.Engineering Platform Walkthrough

Maths.Engineering Platform Walkthrough

1. Linear Differential Equations of Higher Order

1.1 Introduction

1.2 Operator D and Auxiliary Equations

1.3 General solution of f(D)y = 0

1.4 Solved Problem 1

1.5 Solved Problem 2

1.6 Solved Problem 3

1.7 Solved Problem 4

1.8 Solved Problem 5

1.9 Solved Problem 6

1.10 Solved Problem 7

1.11 Solved Problem 8

1.12 Solved Problem 9

1.13 Solved Problem 10

1.14 Exercise

2. General solution of f(D)y = e^ax

2.1 Introduction

2.2 Particular Integral of X = e^ax

2.3 Solved Problem 1

2.4 Solved Problem 2

2.5 Solved Problem 3

2.6 Solved Problem 4

2.7 Solved Problem 5

2.8 Solved Problem 6

2.9 Solved Problem 7

2.10 Solved Problem 8

2.11 Exercise

3. General solution of f(D)y = cos ax or sin ax

3.1 Introduction

3.2 Working rule to Evaluate Particular Integral

3.3 Solved Problem 1

3.4 Solved Problem 2

3.5 Solved Problem 3

3.6 Solved Problem 4

3.7 Solved Problem 5

3.8 Solved Problem 6

3.9 Solved Problem 7

3.10 Solved Problem 8

3.11 Exercise

4. General solution of f(D)y = x^m

4.1 Introduction

4.2 Solved Problem 1

4.3 Solved Problem 2

4.4 Solved Problem 3

4.5 Solved Problem 4

4.6 Solved Problem 5

4.7 Solved Problem 6

4.8 Solved Problem 7

4.9 Solved Problem 8

4.10 Exercise

5. General solution of f(D)y = e^ax . f(x)

5.1 Introduction

5.2 Solved Problem 1

5.3 Solved Problem 2

5.4 Solved Problem 3

5.5 Solved Problem 4

5.6 Solved Problem 5

5.7 Exercise

6. General solution of f(D)y = x^m . f(x)

6.1 Introduction

6.2 Solved Problem 1

6.3 Solved Problem 2

6.4 Solved Problem 3

6.5 Solved Problem 4

6.6 Solved Problem 5

6.7 Solved Problem 6

6.8 Solved Problem 7

6.9 Exercise

7. Method of variation of parameters

7.1 Introduction

7.2 Solved Problem 1

7.3 Solved Problem 2

7.4 Solved Problem 3

7.5 Solved Problem 4

7.6 Solved Problem 5

7.7 Solved Problem 6

7.8 Exercise

8. Cauchy's Differential Equations

8.1 Introduction

8.2 Solved Problem 1

8.3 Solved Problem 2

8.4 Solved Problem 3

8.5 Solved Problem 4

8.6 Solved Problem 5

8.7 Solved Problem 6

8.8 Solved Problem 7

8.9 Solved Problem 8

8.10 Solved Problem 9

8.11 Exercise

9. Legendre Differential Equations

9.1 Introduction

9.2 Solved Problem 1

9.3 Solved Problem 2

9.4 Solved Problem 3

9.5 Solved Problem 4

9.6 Solved Problem 5

9.7 Solved Problem 6

9.8 Solved Problem 7

9.9 Solved Problem 8

9.10 Exercise

10. Simultaneous first order linear equations with constant coefficients

10.1 Introduction

10.2 Solved Problem 1

10.3 Solved Problem 2

10.4 Solved Problem 3

10.5 Solved Problem 4

10.6 Solved Problem 5

10.7 Solved Problem 6

10.8 Exercise

11. Applications to Electric R-L-C circuits

11.1 Introduction

11.2 Solved Problem 1

11.3 Solved Problem 2

11.4 Solved Problem 3

11.5 Solved Problem 4

11.6 Solved Problem 5

11.7 Solved Problem 6

11.8 Solved Problem 7

11.9 Exercise

12. Deflection of Beams

12.1 Introduction

12.2 Solved Problem 1

12.3 Solved Problem 2

12.4 Solved Problem 3

12.5 Solved Problem 4

12.6 Solved Problem 5

12.7 Solved Problem 6

12.8 Solved Problem 7

12.9 Solved Problem 8

12.10 Solved Problem 9

12.11 Exercise

13. Simple Harmonic Motion

13.1 Introduction

13.2 Solved Problem 1

13.3 Solved Problem 2

13.4 Solved Problem 3

13.5 Solved Problem 4

13.6 Solved Problem 5

13.7 Solved Problem 6

13.8 Solved Problem 7

13.9 Exercise

Preview - Higher Order Ordinary Differential Equations