List questions from initial-value-problems

Published on 12 Jan 2019 - 15:55

33

Views

Non-linear IVP with $f(u_1,u_2):=\sqrt{1+\sqrt{u_1^2+u_2^2}}\begin{pmatrix}u_1+u_2\\3 u_2-u_1\end{pmatrix}$

Published on 16 Jan 2019 - 17:17

518

Views

ODE with various initial conditions

Published on 22 Jan 2019 - 14:00

46

Views

Initial value problem related to heat equation.

Published on 25 Mar 2026 - 16:07

115

Views

Non bounded ODE solution

Published on 26 Jan 2019 - 0:49

99

Views

Existence and uniqueness of solution of $y'=(x-y)^{2/3}$ such that $y(5)=5$

Published on 26 Jan 2019 - 16:14

825

Views

Solution to 2D- Burgers' equation with a source

Published on 27 Jan 2019 - 17:09

117

Views

Existence of Solution for Initial value Problem $y'(t)=\cos(ty), t>0$ and $y(0)=\frac{1}{n}, n\in\mathbb{N}$ using Ascoli Arzela

Published on 23 Feb 2026 - 3:30

589

Views

Show that the solution of an IVP eventually leaves a compact set

Published on 31 Jan 2019 - 20:31

2.1k

Views

1D Wave equation mixed boundary conditions and I.C.

Published on 25 Mar 2026 - 13:54

734

Views

On the smooth dependence on initial conditions for the following ODE

Published on 06 Feb 2019 - 10:53

49

Views

Trouble Finding a Position Function Given a Dot Product & Initial Value

Published on 11 Feb 2019 - 21:46

57

Views

Solution of the differential equation $(1+y^2-x^2)y'=\frac{1}{x}, y(1)=1$

Published on 12 Feb 2019 - 6:27

120

Views

Initial Value Problem with continuous functions

Published on 17 Feb 2019 - 5:24

2.1k

Views

Logistic Population growth, How to find r

Published on 17 Feb 2019 - 22:05

List Question

I have $y'(t) = e^{-[g(y)]^2}$

Non-linear IVP with $f(u_1,u_2):=\sqrt{1+\sqrt{u_1^2+u_2^2}}\begin{pmatrix}u_1+u_2\\3 u_2-u_1\end{pmatrix}$

ODE with various initial conditions

Initial value problem related to heat equation.

Non bounded ODE solution

Existence and uniqueness of solution of $y'=(x-y)^{2/3}$ such that $y(5)=5$

Solution to 2D- Burgers' equation with a source

Existence of Solution for Initial value Problem $y'(t)=\cos(ty), t>0$ and $y(0)=\frac{1}{n}, n\in\mathbb{N}$ using Ascoli Arzela

Show that the solution of an IVP eventually leaves a compact set

1D Wave equation mixed boundary conditions and I.C.

On the smooth dependence on initial conditions for the following ODE

Trouble Finding a Position Function Given a Dot Product & Initial Value

Solution of the differential equation $(1+y^2-x^2)y'=\frac{1}{x}, y(1)=1$

Initial Value Problem with continuous functions

Logistic Population growth, How to find r

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