Differential equations for engineers

Lecture 64 - Conclusions

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Lecture 63 - Uniqueness of the boundary value problems for Laplace equation

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Lecture 62 - Laplace equation over circular Sectors

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Lecture 61 - Laplace equation over circular domains

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Lecture 60 - Laplace equation over a rectangle with flux boundary conditions

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Lecture 59 - Laplace equation over a rectangle

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Lecture 56 - Non-homogeneous heat equation

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Lecture 55 - Temperature in a semi-infinite rod

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Lecture 58 - Temperature in a finite rod with insulated ends

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Lecture 57 - Temperature in a finite rod

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Lecture 54 - Temperature in an infinite rod

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Lecture 49 - Finite length string vibrations

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Lecture 50 - Finite length string vibrations (continued)

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Lecture 51 - Non-homogeneous wave equation

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Lecture 52 - Vibration of a circular drum

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Lecture 53 - Solutions of heat equation-Properties

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Lecture 46 - Uniqueness of solutions for wave equation

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Lecture 45 - D'Alembert solution for wave equation

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Lecture 47 - Vibration of a semi-infinite string

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Lecture 48 - Vibration of a finite string

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Lecture 44 - Reduction to Normal form - More examples

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Lecture 43 - Reduction to canonical form for equations with variable coefficients

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Lecture 42 - Reduction to canonical form for equations with constant coefficients

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Lecture 41 -Classification of second order linear PDEs

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Lecture 40 - Second order linear PDEs

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Lecture 39 - Examples of regular Sturm-Liouville systems

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Lecture 38 - Examples of Sturm-Liouville systems (continued)

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Lecture 37 - Examples of Sturm-Liouville systems

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Lecture 36 - Generalized Fourier series

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Lecture 35 - Periodic and singular Sturm-Liouville Problems

Differential equations for engineers