List questions from partial-differential-equations

68

Views

Solve the partial differential equation $y\frac{\partial f}{\partial x} -x \frac{\partial f}{\partial y}=x^3y+xy^3, x> 0, y> 0$

Published on 02 Jul 2019 - 15:07

41

Views

How to Obtain This Partial Differential Equation Transformation?

Published on 09 Apr 2026 - 9:46

75

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solving this pde with weird B.C.s

Published on 17 Apr 2026 - 19:53

55

Views

Why does separation of variables give all solutions to a PDE in $L^2(\Omega)$?

Published on 10 Apr 2026 - 5:09

228

Views

Is divergence free property preserved here?

Published on 13 Apr 2026 - 21:32

278

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Steps $1$ and $3$ of the proof of the Second Existence Theorem for weak solutions of elliptic equations

Published on 13 Apr 2026 - 19:54

50

Views

General solution to the following PDE

Published on 13 Apr 2026 - 0:42

118

Views

transform differential equation using variable substitution

Published on 10 Apr 2026 - 10:27

94

Views

How should I begin showing that this PDE is well-posed?

Published on 11 Apr 2026 - 4:57

45

Views

Product of two functions vanishes when one vanishes

Published on 14 Apr 2026 - 14:28

675

Views

While Fourier series solve heat equation on a finite interval, can Fourier transform solve heat equation on infinite line?

Published on 16 Apr 2026 - 22:10

685

Views

Mixed Dirichlet Neumann BVP- Existence

Published on 27 Mar 2026 - 21:15

782

Views

Decouple Two Partial Differential Equations

Published on 12 Apr 2026 - 21:49

48

Views

Solutions of $~\frac{\partial{u}}{\partial{x}} = 0$: As the solutions don't depend on $x$, but constant on the lines $y =$ constant in the $xy$ plane

Published on 12 Apr 2026 - 5:51

461

Views

Can every closed differential form be expressed via constant coefficients?

Published on 09 Apr 2026 - 6:06

List Question

Solve the partial differential equation $y\frac{\partial f}{\partial x} -x \frac{\partial f}{\partial y}=x^3y+xy^3, x> 0, y> 0$

How to Obtain This Partial Differential Equation Transformation?

solving this pde with weird B.C.s

Why does separation of variables give all solutions to a PDE in $L^2(\Omega)$?

Is divergence free property preserved here?

Steps $1$ and $3$ of the proof of the Second Existence Theorem for weak solutions of elliptic equations

General solution to the following PDE

transform differential equation using variable substitution

How should I begin showing that this PDE is well-posed?

Product of two functions vanishes when one vanishes

While Fourier series solve heat equation on a finite interval, can Fourier transform solve heat equation on infinite line?

Mixed Dirichlet Neumann BVP- Existence

Decouple Two Partial Differential Equations

Solutions of $~\frac{\partial{u}}{\partial{x}} = 0$: As the solutions don't depend on $x$, but constant on the lines $y =$ constant in the $xy$ plane

Can every closed differential form be expressed via constant coefficients?

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