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Maths.Engineering Platform Walkthrough
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Maths.Engineering Platform Walkthrough
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1. Linear Differential Equations of Higher Order
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1.1 Introduction
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1.2 Operator D and Auxiliary Equations
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1.3 General solution of f(D)y = 0
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1.4 Solved Problem 1
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1.5 Solved Problem 2
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1.6 Solved Problem 3
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1.7 Solved Problem 4
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1.8 Solved Problem 5
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1.9 Solved Problem 6
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1.10 Solved Problem 7
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1.11 Solved Problem 8
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1.12 Solved Problem 9
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1.13 Solved Problem 10
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1.14 Exercise
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2. General solution of f(D)y = e^ax
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2.1 Introduction
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2.2 Particular Integral of X = e^ax
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2.3 Solved Problem 1
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2.4 Solved Problem 2
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2.5 Solved Problem 3
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2.6 Solved Problem 4
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2.7 Solved Problem 5
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2.8 Solved Problem 6
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2.9 Solved Problem 7
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2.10 Solved Problem 8
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2.11 Exercise
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3. General solution of f(D)y = cos ax or sin ax
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3.1 Introduction
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3.2 Working rule to Evaluate Particular Integral
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3.3 Solved Problem 1
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3.4 Solved Problem 2
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3.5 Solved Problem 3
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3.6 Solved Problem 4
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3.7 Solved Problem 5
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3.8 Solved Problem 6
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3.9 Solved Problem 7
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3.10 Solved Problem 8
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3.11 Exercise
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4. General solution of f(D)y = x^m
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4.1 Introduction
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4.2 Solved Problem 1
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4.3 Solved Problem 2
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4.4 Solved Problem 3
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4.5 Solved Problem 4
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4.6 Solved Problem 5
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4.7 Solved Problem 6
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4.8 Solved Problem 7
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4.9 Solved Problem 8
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4.10 Exercise
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5. General solution of f(D)y = e^ax . f(x)
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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 Exercise
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6. General solution of f(D)y = x^m . f(x)
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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 Exercise
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7. Method of variation of parameters
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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 Exercise
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8. Cauchy's Differential Equations
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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 Solved Problem 9
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8.11 Exercise
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9. Legendre Differential Equations
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9.1 Introduction
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9.2 Solved Problem 1
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9.3 Solved Problem 2
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9.4 Solved Problem 3
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9.5 Solved Problem 4
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9.6 Solved Problem 5
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9.7 Solved Problem 6
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9.8 Solved Problem 7
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9.9 Solved Problem 8
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9.10 Exercise
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10. Simultaneous first order linear equations with constant coefficients
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10.1 Introduction
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10.2 Solved Problem 1
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10.3 Solved Problem 2
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10.4 Solved Problem 3
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10.5 Solved Problem 4
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10.6 Solved Problem 5
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10.7 Solved Problem 6
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10.8 Exercise
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11. Applications to Electric R-L-C circuits
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11.1 Introduction
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11.2 Solved Problem 1
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11.3 Solved Problem 2
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11.4 Solved Problem 3
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11.5 Solved Problem 4
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11.6 Solved Problem 5
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11.7 Solved Problem 6
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11.8 Solved Problem 7
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11.9 Exercise
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12. Deflection of Beams
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12.1 Introduction
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12.2 Solved Problem 1
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12.3 Solved Problem 2
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12.4 Solved Problem 3
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12.5 Solved Problem 4
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12.6 Solved Problem 5
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12.7 Solved Problem 6
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12.8 Solved Problem 7
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12.9 Solved Problem 8
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12.10 Solved Problem 9
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12.11 Exercise
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13. Simple Harmonic Motion
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13.1 Introduction
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13.2 Solved Problem 1
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13.3 Solved Problem 2
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13.4 Solved Problem 3
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13.5 Solved Problem 4
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13.6 Solved Problem 5
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13.7 Solved Problem 6
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13.8 Solved Problem 7
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13.9 Exercise
Preview - Higher Order Ordinary Differential Equations
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