The course gives an introduction to analytical techniques for partial differential equations, in particular to separation of variables. In addition the course treats qualititative properties of ...

We study the classical linear partial differential equations: Poisson's equation and the heat equation. We learn about representation formulas for solutions, maximum principles, and energy estimates.

Introduction to differential equations with an emphasis on engineering applications. Topics include first-order equations, higher-order linear equations with constant coefficients, and systems of ...

py-pde is a Python package for solving partial differential equations (PDEs). The package provides classes for grids on which scalar and tensor fields can be defined. The associated differential ...

Recent data shows boys in years 5 and 9 in England have scored significantly higher than girls in math and science compared with 2019, report UCL researchers who analyzed the latest Trends in ...

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This means equations are not always true. In the example above, \(3x + 5 = 11\), the only correct solution for \(x\) is 2. An identity is an equation which is always true, no matter what values ...