Occurrence of the Wave Equation
Understand occurrence of wave equation in physics.
Learn the fundamentals of Hyperbolic Differential Equations and its importance in Partial Differential Equations
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Hyperbolic Differential Equations Learning Map. 14 concepts.
Chapter structure
Each section groups closely related concepts and preserves the intended academic order.
Understand occurrence of wave equation in physics.
Derive one-dimensional wave equation. Learn the concept through clear academic explanations and examples.
Solve wave equation using canonical reduction. Learn the concept through clear academic explanations and examples.
Solve wave equation using D'Alembert's formula. Learn the concept through clear academic explanations and examples.
Solution of vibrating string problem. Learn the concept through clear academic explanations and examples.
Study forced vibrations and non-homogeneous equations.
Solve 2D wave equation using eigenfunction method.
Periodic solution in cylindrical coordinates. Learn the concept through clear academic explanations and examples.
Periodic solution in spherical coordinates. Learn the concept through clear academic explanations and examples.
Study vibration of circular membrane. Learn the concept through clear academic explanations and examples.
Uniqueness theorem for wave equation. Learn the concept through clear academic explanations and examples.
Study Duhamel's principle. Learn the concept through clear academic explanations and examples.
Practice problems. Learn the concept through clear academic explanations and examples.
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Comprehensive module covering 5 sections in Functional Analysis.