List questions from initial-value-problems

Published on 21 Jan 2022 - 2:52

89

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Solve using Laplace and IVP $\displaystyle ay'' + by' +cy = t$ such that $\displaystyle y'(0)=0,y(0)=1$

Published on 26 Jan 2022 - 6:25

127

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Initial value problem $u_t +b \cdot(Du)+f(x,t)u = h(x,t)$ in $\mathbb{R}^{n} \times (0, \infty)$

Published on 27 Jan 2022 - 17:41

47

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Why should I only pick the positive number for $C$ in this IVP (separable differential equation)?

Published on 02 Feb 2022 - 23:33

92

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Finding characteristics of PDE using method of characteristics

Published on 28 Mar 2026 - 1:48

102

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How is Duhamel's Principle a Generalization of Variation of Parameters?

Published on 03 Feb 2022 - 17:44

185

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Why is it true that the solution to this IVP is always $<3$ when $x\geq 0$ (without solving the equation)?

Published on 03 Feb 2022 - 23:56

256

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Characteristics for Burgers equation with $u(x,0)=x$

Published on 28 Mar 2026 - 1:48

70

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Solution of system of ODE.

Published on 09 Feb 2022 - 16:54

220

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Approximate the solution of this initial value problem using Euler's method (Maple)

Published on 28 Mar 2026 - 12:12

47

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Laplace transform on an initial value problem

Published on 13 Feb 2022 - 17:41

503

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Examples of Finite-Duration solutions to Autonomous Ordinary Differential Equations ODEs?

Published on 23 Feb 2026 - 6:22

61

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Finite Lenght Wave equation With Only Initial Conditions.

Published on 24 Feb 2022 - 4:46

259

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How to solve homogeneous differential equation with initial value conditions using Green's function?

Published on 28 Mar 2026 - 6:58

147

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Plot characteristic curves for Initial value problem

Published on 01 Mar 2022 - 1:14

List Question

Solving separable ODEs

Solve using Laplace and IVP $\displaystyle ay'' + by' +cy = t$ such that $\displaystyle y'(0)=0,y(0)=1$

Initial value problem $u_t +b \cdot(Du)+f(x,t)u = h(x,t)$ in $\mathbb{R}^{n} \times (0, \infty)$

Why should I only pick the positive number for $C$ in this IVP (separable differential equation)?

Finding characteristics of PDE using method of characteristics

How is Duhamel's Principle a Generalization of Variation of Parameters?

Why is it true that the solution to this IVP is always $<3$ when $x\geq 0$ (without solving the equation)?

Characteristics for Burgers equation with $u(x,0)=x$

Solution of system of ODE.

Approximate the solution of this initial value problem using Euler's method (Maple)

Laplace transform on an initial value problem

Examples of Finite-Duration solutions to Autonomous Ordinary Differential Equations ODEs?

Finite Lenght Wave equation With Only Initial Conditions.

How to solve homogeneous differential equation with initial value conditions using Green's function?

Plot characteristic curves for Initial value problem

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