Id: 036705 Credits Min: 3 Credits Max: 3 Description. Linear and quasilinear first order PDE. The method of characteristics. Conservation laws and propagation of shocks. Basic theory for three ...

Differential equations articles from across Nature Portfolio. Atom; RSS Feed; Definition. A differential equation is an equality constraining a mathematical function in relation to its derivatives ...

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Many physical phenomena – including heat transfer, fluid flow and electromagnetic wave propagation, to name just three – can be described using partial differential equations (PDEs). Apart from a few ...

Solving differential equations When integrating simple expressions, the constant of integration, the \(+ c\) term, may remain an unknown. The value of \(c\) can be worked out when additional ...

Some equations are beautiful because they reveal unexpected relationships between different subjects. The Loewner differential equation, introduced by Charles Loewner in 1923, describes the time ...