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Related lectures (27)
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Analysis IV: Laplace Equation Solutions
Explores Laplace equation solutions through separation of variables and general solution writing for complex problems.
Law of Hooke Applications: Spring Problems
Explores the application of the law of Hooke to spring problems and solving equations of motion for block-spring systems.
Material Point Model: Basics
Covers the material point model, initial conditions, and Newton's laws in physics.
Separation of Variables: Spatial Problems
Explores the method of separation of variables for solving spatial problems with second-order ODEs, emphasizing the significance of boundary conditions.
Sturm-Liouville Problem: Legendre Equation
Explores the Sturm-Liouville problem linked to the Legendre equation and its significance in physics.
Numerical Methods: Boundary Value Problems
Explores boundary value problems, finite difference method, and Joule heating examples in 1D.
Heterogeneous Reactions: Transport Effects
Explores transport effects in heterogeneous catalysis, including molecular diffusion and Knudsen diffusion in different types of pores.
Ordinary Differential Equations: Non-linear Analysis
Covers non-linear ordinary differential equations, including separation, Cauchy problems, and stability conditions.
Differential Equations: General Solutions and Methods
Covers solving linear inhomogeneous differential equations and finding their general solutions using the method of variation of constants.
Linear Differential Equations
Explores solving linear differential equations and the principle of superposition with illustrative examples.
