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Maths.Engineering Platform Walkthrough
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Maths.Engineering Platform Walkthrough
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1. Formation of PDE's by elimination of arbitrary constants
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1.1 Introduction
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1.2 Formation of Partial Differential Equations
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1.3 Solved Problem 1
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1.4 Solved Problem 2
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1.5 Solved Problem 3
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1.6 Solved Problem 4
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1.7 Solved Problem 5
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1.8 Solved Problem 6
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1.9 Solved Problem 7
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1.10 Solved Problem 8
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1.11 Solved Problem 9
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1.12 Solved Problem 10
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1.13 Solved Problem 11
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1.14 Solved Problem 12
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1.15 Exercise
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2. Formation of PDE's by elimination of arbitrary functions
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2.1 Introduction
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2.2 Solved Problem 1
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2.3 Solved Problem 2
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2.4 Solved Problem 3
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2.5 Solved Problem 4
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2.6 Solved Problem 5
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2.7 Solved Problem 6
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2.8 Solved Problem 7
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2.9 Solved Problem 8
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2.10 Solved Problem 9
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2.11 Solved Problem 10
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2.12 Solved Problem 11
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2.13 Solved Problem 12
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2.14 Exercise
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3. Solutions of standard first order partial differential equations
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3.1 Introduction
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3.2 Type I
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3.3 Type II
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3.4 Type III
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3.5 Type IV
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3.6 Type V
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3.7 Type VI
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3.8 Solved Problem 1
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3.9 Solved Problem 2
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3.10 Solved Problem 3
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3.11 Solved Problem 4
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3.12 Solved Problem 5
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3.13 Solved Problem 6
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3.14 Solved Problem 7
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3.15 Solved Problem 8
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3.16 Solved Problem 9
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3.17 Solved Problem 10
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3.18 Solved Problem 11
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3.19 Solved Problem 12
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3.20 Solved Problem 13
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3.21 Solved Problem 14
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3.22 Solved Problem 15
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3.23 Solved Problem 16
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3.24 Solved Problem 17
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3.25 Solved Problem 18
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3.26 Solved Problem 19
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3.27 Solved Problem 20
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3.28 Solved Problem 21
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3.29 Solved Problem 22
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3.30 Solved Problem 23
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3.31 Solved Problem 24
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3.32 Solved Problem 25
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3.33 Solved Problem 26
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3.34 Solved Problem 27
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3.35 Exercise
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4. First Order Linear(Lagrange's) Equation
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4.1 Introduction
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4.2 Linear partial differential equation of the first order
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4.3 Solved Problem 1
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4.5 Solved Problem 3
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4.7 Solved Problem 5
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4.8 Solved Problem 6
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4.9 Solved Problem 7
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4.10 Solved Problem 8
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4.11 Solved Problem 9
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4.12 Solved Problem 10
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4.13 Solved Problem 11
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4.14 Solved Problem 12
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4.15 Solved Problem 13
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4.16 Exercise
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5. Higher Order Partial Differential Equation
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5.1 Introduction
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5.2 Solved Problem 1
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5.3 Solved Problem 2
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5.4 Solved Problem 3
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5.5 Solved Problem 4
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5.6 Solved Problem 5
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5.7 Solved Problem 6
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5.8 Solved Problem 7
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5.9 Solved Problem 8
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5.10 Solved Problem 9
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5.11 Solved Problem 10
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5.12 Solved Problem 11
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5.13 Solved Problem 12
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5.14 Solved Problem 13
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5.15 Solved Problem 14
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5.16 Solved Problem 15
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5.17 Solved Problem 16
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5.18 Solved Problem 17
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5.19 Solved Problem 18
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5.20 Exercise
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6. Complementary Function for a Non-homogenous Linear Equation
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6.1 Introduction
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6.2 Solved Problem 1
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6.3 Solved Problem 2
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6.4 Solved Problem 3
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6.5 Solved Problem 4
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6.6 Solved Problem 5
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6.7 Solved Problem 6
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6.8 Solved Problem 7
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6.9 Solved Problem 8
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6.9 Solved Problem 9
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6.9 Solved Problem 10
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6.10 Exercise
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7. Classification of second order PDE
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7.1 Introduction
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7.2 Solved Problem 1
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7.3 Solved Problem 2
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7.4 Solved Problem 3
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7.5 Solved Problem 4
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7.6 Solved Problem 5
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7.7 Solved Problem 6
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7.8 Solved Problem 7
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7.9 Solved Problem 8
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7.10 Solved Problem 9
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7.11 Solved Problem 10
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7.12 Exercise
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8. Method of separation of variables
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8.1 Introduction
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8.2 Solved Problem 1
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8.3 Solved Problem 2
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8.4 Solved Problem 3
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8.5 Solved Problem 4
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8.6 Solved Problem 5
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8.7 Solved Problem 6
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8.8 Solved Problem 7
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8.9 Solved Problem 8
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8.10 Exercise
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9. Solutions of One dimensional wave equation
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9.1 Introduction
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9.2 Tranasverse vibration of a stretched string - one dimesional wave equation
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9.3 Transmission line equations
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9.4 Variable separable solutions of the wave
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9.5 Choice of proper solution
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9.6 Solution of a damped vibrating string equation
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9.7 Problems on vibrating string with non-zero initial velocity
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9.8 Solved Problem 1
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9.9 Solved Problem 2
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9.10 Solved Problem 3
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9.11 Solved Problem 4
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9.12 Solved Problem 5
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9.13 Solved Problem 6
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9.14 Solved Problem 7
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9.15 Solved Problem 8
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9.16 Solved Problem 9
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9.17 Solved Problem 10
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9.18 Solved Problem 11
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9.19 Solved Problem 12
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9.20 Exercise
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10. Solutions of One dimensional Heat equation
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10.1 Introduction
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10.2 Equation of variable heat flow in one dimension
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10.3 Variable separable solutions of the heat equation
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10.4 Choice of proper solution
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10.5 One dimensional heat equation
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10.6 Solved Problem 1
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10.7 Solved Problem 2
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10.8 Solved Problem 3
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10.9 Solved Problem 4
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10.10 Solved Problem 5
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10.11 Solved Problem 6
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10.12 Solved Problem 7
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10.13 Solved Problem 8
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10.14 Exercise
Preview - Partial Differential Equations
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