List questions from initial-value-problems

Published on 26 Oct 2022 - 19:14

138

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Find general solution to the non-homogeneous equation: $y'' - 16y' + 64y = \frac{e^{-8x}}{1 + x^2}$

Published on 28 Mar 2026 - 10:33

61

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Does anybody know which is the general solution of this differential equation?

Published on 05 Nov 2022 - 9:28

92

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Discussion for understanding existence and uniqueness theorem.

Published on 08 Nov 2022 - 4:32

50

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What does 'interior initial conditions' and 'interior boundary conditions' stand for?

Published on 09 Nov 2022 - 4:46

55

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solutions of Initial value problem of system of differential equations

Published on 11 Nov 2022 - 14:07

252

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In Schrödinger's equation, well-behaved wave functions at $t=0$ changing their normalization value

Published on 13 Nov 2022 - 7:08

294

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Converting an Voltera equation to an IVP

Published on 30 Mar 2026 - 14:27

49

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PDE question that hard to see second first integral

Published on 28 Mar 2026 - 20:52

122

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How can I find the solution of the Hopf equation $u_t + u u_x = 0$ with the initial condition $u(0,x) = \rho(x)$?

Published on 28 Mar 2026 - 21:06

27

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Can Initial Conditions be integrated?

Published on 26 Nov 2022 - 1:20

104

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Problem with Picard iteration and defining solution interval

Published on 05 Dec 2022 - 22:05

183

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If an initial value problem has a solution on $[0,a)$ for all $a>0$, will it have a solution on the whole $[0,\infty)$?

Published on 06 Dec 2022 - 11:25

131

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Proving that a non-homogeneous wave equation preserves energy $E(t)\equiv\int_{B}(u_t^2+c^2|\nabla u|^2)dx$

Published on 09 Dec 2022 - 18:45

55

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$y(x)$ is a solution of the differential equation

Published on 11 Dec 2022 - 14:22

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How to solve the following IVP

Find general solution to the non-homogeneous equation: $y'' - 16y' + 64y = \frac{e^{-8x}}{1 + x^2}$

Does anybody know which is the general solution of this differential equation?

Discussion for understanding existence and uniqueness theorem.

What does 'interior initial conditions' and 'interior boundary conditions' stand for?

solutions of Initial value problem of system of differential equations

In Schrödinger's equation, well-behaved wave functions at $t=0$ changing their normalization value

Converting an Voltera equation to an IVP

PDE question that hard to see second first integral

How can I find the solution of the Hopf equation $u_t + u u_x = 0$ with the initial condition $u(0,x) = \rho(x)$?

Can Initial Conditions be integrated?

Problem with Picard iteration and defining solution interval

If an initial value problem has a solution on $[0,a)$ for all $a>0$, will it have a solution on the whole $[0,\infty)$?

Proving that a non-homogeneous wave equation preserves energy $E(t)\equiv\int_{B}(u_t^2+c^2|\nabla u|^2)dx$

$y(x)$ is a solution of the differential equation

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