List questions from initial-value-problems

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Find the largest interval where the Initial Value Problem $y'(t)=t+sin(y(t))$ with $y(2)=1$ has a unique solution. Using Picard-Lindelof Theorem.

Published on 19 Nov 2018 - 4:47

333

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Does $y'=|y|^a$ have any global solutions?

Published on 19 Nov 2018 - 16:15

119

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Solving Cauchy's problem with a discontinuous function

Published on 25 Mar 2026 - 2:13

329

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Definite Integration and Initial Value Problems

Published on 25 Nov 2018 - 21:07

2.2k

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Finding the initial temperature using Newton's law

Published on 26 Nov 2018 - 18:29

872

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Well-posedness of heat-equation PDE with only one initial condition

Published on 25 Mar 2026 - 14:33

238

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Describing mappings using dynamics of time-dependent ODE-flows

Published on 30 Nov 2018 - 21:21

367

Views

Existence and uniqueness of $\frac{dy}{dx} = \frac{y^2}{x-2}$.

Published on 02 Dec 2018 - 17:48

869

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Does non-uniqueness of solution to 1st order ODE implies the existence of infinitely many solutions?

Published on 05 Dec 2018 - 16:26

40

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Separating $y$'s and $x$'s

Published on 10 Dec 2018 - 2:15

83

Views

Find a set of solutions for $y'=\sqrt{y^2-1},\ y(0)=1$.

Published on 10 Dec 2018 - 15:12

249

Views

When does any solution of an i.v.p. converges to some steady state?

Published on 25 Mar 2026 - 3:01

119

Views

Uniqueness of solutions of an IVP

Published on 19 Dec 2018 - 15:55

159

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Analytical solution of heat equation with non-homogenous boundary conditions

Published on 25 Mar 2026 - 3:24

17

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Let $y' = g(t,y)sin^2(y)$, discuting limit of solution.

Published on 16 Mar 2026 - 16:50

List Question

Find the largest interval where the Initial Value Problem $y'(t)=t+sin(y(t))$ with $y(2)=1$ has a unique solution. Using Picard-Lindelof Theorem.

Does $y'=|y|^a$ have any global solutions?

Solving Cauchy's problem with a discontinuous function

Definite Integration and Initial Value Problems

Finding the initial temperature using Newton's law

Well-posedness of heat-equation PDE with only one initial condition

Describing mappings using dynamics of time-dependent ODE-flows

Existence and uniqueness of $\frac{dy}{dx} = \frac{y^2}{x-2}$.

Does non-uniqueness of solution to 1st order ODE implies the existence of infinitely many solutions?

Separating $y$'s and $x$'s

Find a set of solutions for $y'=\sqrt{y^2-1},\ y(0)=1$.

When does any solution of an i.v.p. converges to some steady state?

Uniqueness of solutions of an IVP

Analytical solution of heat equation with non-homogenous boundary conditions

Let $y' = g(t,y)sin^2(y)$, discuting limit of solution.

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