List questions from characteristics

Published on 04 Dec 2023 - 18:57

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PDE $(c_1t+c_2)\frac{\partial u}{\partial t}-\left(c_1x+c_3\right)\frac{\partial u}{\partial x}=c_1u$ by method of characteristics

Published on 19 Dec 2023 - 23:29

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Solve for $\rho$: $\frac{\partial \rho}{\partial t}-u(t,x)\frac{\partial \rho}{\partial x}=\rho\frac{\partial }{\partial x}u(t,x)$.

Published on 20 Dec 2023 - 18:13

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Solving this differential equation using method of characteristics

Published on 21 Dec 2023 - 23:39

191

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Assigning canonical form to the differential equation using characteristics

Published on 22 Dec 2023 - 12:20

18

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Solving the advection equation with an absorbing boundary

Published on 24 Dec 2023 - 1:10

31

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What to do when the discriminant of second order linear PDE changes sign?

Published on 25 Mar 2026 - 21:48

53

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Finding solution of semilinear PDE using method of characteristics

Published on 05 Jan 2024 - 10:55

90

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Solve this PDE $u_x+u_y+2u_z=0$,$u(1,y,z)=yz$ (problem with initial conditions/particular solution)

Published on 05 Jan 2024 - 18:47

158

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Solve this PDE $xu_x+yu_y+xyu_z=0,u(x,y,0)=x^2+y^2$ (problem with general solution)

Published on 05 Jan 2024 - 22:10

47

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How to show a PDE is locally/globally solvable

Published on 06 Jan 2024 - 11:12

103

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Fully nonlinear 1st order PDE solved with method of characteristics

Published on 06 Jan 2024 - 14:32

86

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Solve this PDE $yu_x-xu_y=2xyu$ (problem with general solution)

Published on 11 Jan 2024 - 15:17

47

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Difficulty solving first order linear PDE, characteristics hard to obtain.

Published on 12 Jan 2024 - 18:06

91

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First-order inhomogeneous PDE in general form

Published on 13 Jan 2024 - 10:47

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Method of Characteristics - $X(t;x_0)$

PDE $(c_1t+c_2)\frac{\partial u}{\partial t}-\left(c_1x+c_3\right)\frac{\partial u}{\partial x}=c_1u$ by method of characteristics

Solve for $\rho$: $\frac{\partial \rho}{\partial t}-u(t,x)\frac{\partial \rho}{\partial x}=\rho\frac{\partial }{\partial x}u(t,x)$.

Solving this differential equation using method of characteristics

Assigning canonical form to the differential equation using characteristics

Solving the advection equation with an absorbing boundary

What to do when the discriminant of second order linear PDE changes sign?

Finding solution of semilinear PDE using method of characteristics

Solve this PDE $u_x+u_y+2u_z=0$,$u(1,y,z)=yz$ (problem with initial conditions/particular solution)

Solve this PDE $xu_x+yu_y+xyu_z=0,u(x,y,0)=x^2+y^2$ (problem with general solution)

How to show a PDE is locally/globally solvable

Fully nonlinear 1st order PDE solved with method of characteristics

Solve this PDE $yu_x-xu_y=2xyu$ (problem with general solution)

Difficulty solving first order linear PDE, characteristics hard to obtain.

First-order inhomogeneous PDE in general form

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