List questions from characteristics

Published on 05 Dec 2018 - 10:41

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Shock formation condition in IVP of $u_t + uu_x + \alpha u = 0$

Published on 06 Dec 2018 - 0:01

507

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Solve IVP of $(u_t )^2 + (u_x )^2 − u^2 = 0$ using method of characteristics

Published on 09 Dec 2018 - 19:16

902

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Characteristic curves for second-order Tricomi equation

Published on 10 Dec 2018 - 21:11

238

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Behavior of the solution of the eikonal equation

Published on 11 Dec 2018 - 1:02

136

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Exact solution for two coupled non-homogeneous transport equations

Published on 25 Mar 2026 - 6:10

962

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Quasilinear PDE using method of characteristics

Published on 11 Dec 2018 - 16:40

225

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Characteristic coordinates $ξ(x, y)$ and $η(x, y)$ for $xu_{xx} + u_{yy} = 0$ when $x<0$

Published on 12 Dec 2018 - 16:38

93

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Are both answers for $xu_x + yu_y = 0$ valid?

Published on 13 Dec 2018 - 2:44

39

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Solve $u_x + 4xu_y = 1 + u^2$ for $u(0,y)=y$

Published on 14 Dec 2018 - 7:59

470

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Solve quasi-linear PDE $uu_x+yu_y=x$ through the method of characteristics

Published on 07 Jan 2019 - 23:24

128

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Finding the time when the speed of discontinuity becomes time-dependent in traffic flow

Published on 25 Mar 2026 - 6:12

54

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Basic question about a first-order linear equation

Published on 25 Mar 2026 - 7:39

415

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Characteristics for nonhomogeneous wave equation $y_{tt}=y_{xx} + f$

Published on 18 Jan 2019 - 16:08

82

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Partial Differential Equations Question: Find an explicit expression for the solution of the IVP

Published on 20 Jan 2019 - 16:34

List Question

Method of characteristics for $f f_x + f_y = 1$. Where is the solution valid?

Shock formation condition in IVP of $u_t + uu_x + \alpha u = 0$

Solve IVP of $(u_t )^2 + (u_x )^2 − u^2 = 0$ using method of characteristics

Characteristic curves for second-order Tricomi equation

Behavior of the solution of the eikonal equation

Exact solution for two coupled non-homogeneous transport equations

Quasilinear PDE using method of characteristics

Characteristic coordinates $ξ(x, y)$ and $η(x, y)$ for $xu_{xx} + u_{yy} = 0$ when $x<0$

Are both answers for $xu_x + yu_y = 0$ valid?

Solve $u_x + 4xu_y = 1 + u^2$ for $u(0,y)=y$

Solve quasi-linear PDE $uu_x+yu_y=x$ through the method of characteristics

Finding the time when the speed of discontinuity becomes time-dependent in traffic flow

Basic question about a first-order linear equation

Characteristics for nonhomogeneous wave equation $y_{tt}=y_{xx} + f$

Partial Differential Equations Question: Find an explicit expression for the solution of the IVP

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