List questions from initial-value-problems

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Initial value problem ODE - "choosing" particular solution

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How to solve a difference equation in terms of initial value $y_0$ and describe the behavior of its solution as $n$ approaches $\infty$?

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ODE Substitution Problem

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Existence and uniqueness of initial value problems

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Using bounds for an analytically intractable differential equations problem

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PDE with Laplace transform 4

Published on 23 Mar 2026 - 21:39

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Matrix Equations to Solve ODE

Published on 23 Mar 2026 - 23:00

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Determining the initial conditions on a set of PDEs

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Maximal solutions of $x' = \sqrt{|x|}$, $x(0) = 0$

Published on 23 Mar 2026 - 17:31

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Local uniqueness in separable variables ODE

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Studying local uniqueness in the family $ \begin{cases} x' = |x|^{p}\\ x(t_0) = 0\\ \end{cases} $

Published on 23 Mar 2026 - 17:42

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Is $\frac{1}{x}$ continuosly differentiable on the set $E = (- \infty, 0) \cup (0, \infty)$?

Published on 24 Mar 2026 - 5:05

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Solving an IVP using Laplace Transformations

Published on 17 Mar 2026 - 12:43

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Laplace Transform for an Initial Value Problem with Arbitrary Function

Published on 24 Mar 2026 - 8:39

List Question

Elementary Initial value problem ODE

Initial value problem ODE - "choosing" particular solution

How to solve a difference equation in terms of initial value $y_0$ and describe the behavior of its solution as $n$ approaches $\infty$?

ODE Substitution Problem

Existence and uniqueness of initial value problems

Using bounds for an analytically intractable differential equations problem

PDE with Laplace transform 4

Matrix Equations to Solve ODE

Determining the initial conditions on a set of PDEs

Maximal solutions of $x' = \sqrt{|x|}$, $x(0) = 0$

Local uniqueness in separable variables ODE

Studying local uniqueness in the family $ \begin{cases} x' = |x|^{p}\\ x(t_0) = 0\\ \end{cases} $

Is $\frac{1}{x}$ continuosly differentiable on the set $E = (- \infty, 0) \cup (0, \infty)$?

Solving an IVP using Laplace Transformations

Laplace Transform for an Initial Value Problem with Arbitrary Function

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