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Notes in First order sacalar PDEs

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Status Last Update Fields
Published 05/06/2024 Outline the steps for the method of transformations
Published 05/15/2024 State the jacobian for the method of transformations
Published 05/06/2024 What are the three options for solutions of a semi-linear scalar first order PDE in two independent variables, given some prescribed data?
Published 05/06/2024 What is cauchy data?
Published 05/06/2024 What is the cauchy problem for a first order semi-linear PDE in two independent variables?
Published 05/06/2024 Where can \(u(x,y)\) be determined if \(\Gamma\) is finite?
Published 05/06/2024 How many solutions are there if \(\Gamma\) is a characteristic?
Published 05/06/2024 What transpires when there is a discontinuity in the initiial data prescribed on \(\Gamma\)?
Published 05/06/2024 What is the compatability equation?
Published 05/06/2024 State the characteristic equations
Published 05/06/2024 What are our options for solving first order PDEs?
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