List questions from initial-value-problems

Published on 27 Sep 2022 - 18:27

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Find a counterexample for this ODE.

Published on 29 Sep 2022 - 5:03

50

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Uniqueness of solution to first-order differential equation without IVP

Published on 29 Sep 2022 - 19:47

94

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On the uniqueness of solution for the IVP $y'=1-y^2,~y(0)=0$ to analyse the solution behavior throughout $\Bbb R$

Published on 30 Sep 2022 - 5:46

786

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Does there exist a unique solution for $y' = -y^{1/3}, y(0) = 0$?

Published on 01 Oct 2022 - 15:40

98

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Is it possible that $y'(x) = x^2 - y^2$ has a second solution?

Published on 03 Oct 2022 - 6:41

163

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How is the global truncation error and stability criterion of the forward Euler method consistent with each other?

Published on 25 Mar 2026 - 23:37

34

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Number of variables of a function specified by a partial differential equation with conditions

Published on 07 Oct 2022 - 15:39

33

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How to row reduce this 3x3 matrix with eigenvalues?

Published on 09 Oct 2022 - 17:42

131

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Solve initial value problem using Laplace Transform

Published on 15 Oct 2022 - 13:32

32

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Solving the following initial and boundary value problem

Published on 18 Oct 2022 - 13:23

59

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Solve the Initial-Value Problem $\quad x\frac{\partial u}{\partial x}+ u\frac{\partial u}{\partial y}\,= u + 2x^2$

Published on 28 Mar 2026 - 20:53

59

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Global solution to the ODE if $f$ is linear

Published on 25 Oct 2022 - 22:59

131

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Summary of the solutions of ODE IVP

Published on 26 Oct 2022 - 14:41

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Stability of the Zero Solution - summary

Published on 29 Mar 2026 - 11:07

List Question

Complex Root Differential Equation with Initial Conditions: $4y''-4y'+2y=0, y(4)=3, y'(4)=3$

Find a counterexample for this ODE.

Uniqueness of solution to first-order differential equation without IVP

On the uniqueness of solution for the IVP $y'=1-y^2,~y(0)=0$ to analyse the solution behavior throughout $\Bbb R$

Does there exist a unique solution for $y' = -y^{1/3}, y(0) = 0$?

Is it possible that $y'(x) = x^2 - y^2$ has a second solution?

How is the global truncation error and stability criterion of the forward Euler method consistent with each other?

Number of variables of a function specified by a partial differential equation with conditions

How to row reduce this 3x3 matrix with eigenvalues?

Solve initial value problem using Laplace Transform

Solving the following initial and boundary value problem

Solve the Initial-Value Problem $\quad x\frac{\partial u}{\partial x}+ u\frac{\partial u}{\partial y}\,= u + 2x^2$

Global solution to the ODE if $f$ is linear

Summary of the solutions of ODE IVP

Stability of the Zero Solution - summary

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