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 16 Apr 2026 - 1:21

337

Views

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

Published on 11 May 2026 - 2:18

121

Views

Solving Cauchy's problem with a discontinuous function

Published on 10 May 2026 - 14:03

332

Views

Definite Integration and Initial Value Problems

Published on 09 Apr 2026 - 19:54

2.2k

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Finding the initial temperature using Newton's law

Published on 13 Apr 2026 - 11:56

873

Views

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

Published on 10 May 2026 - 19:58

241

Views

Describing mappings using dynamics of time-dependent ODE-flows

Published on 10 Apr 2026 - 10:29

370

Views

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

Published on 15 Apr 2026 - 17:52

872

Views

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

Published on 13 Apr 2026 - 14:26

43

Views

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

Published on 15 Apr 2026 - 10:46

86

Views

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

Published on 17 Apr 2026 - 19:06

251

Views

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

Published on 10 May 2026 - 14:57

122

Views

Uniqueness of solutions of an IVP

Published on 11 Apr 2026 - 12:19

160

Views

Analytical solution of heat equation with non-homogenous boundary conditions

Published on 10 May 2026 - 19:38

19

Views

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

Published on 14 Apr 2026 - 0:46

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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