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Dayton's user avatar
Dayton's user avatar
Dayton
  • Member for 5 years, 1 month
  • Last seen more than a month ago
53 votes
Accepted

Why are certain PDE called "elliptic", "hyperbolic", or "parabolic"?

6 votes

Can we find a closed-form formula for $a_{n+1}=\frac{a_n}{a_n+1}$, given $a_1=a$?

5 votes

Limit of integrals of continuous functions

4 votes
Accepted

The necessary and sufficient condition for no uniform convergence

4 votes
Accepted

Area bounded by a curve and a straight line

3 votes
Accepted

Stability equilibrium point of non linear system with nonpositive eigenvalues.

3 votes

Proving $\operatorname{cos}(x+y)=\operatorname{cos}(x)\operatorname{cos}(y)-\operatorname{sin}(x)\operatorname{sin}(y)$ using differentiation

3 votes
Accepted

How to prove that a polynomial has one exactly one root using Banach's fixed point theorem?

3 votes
Accepted

How to solve the system of ODEs $f'(x)=-f(x)\cdot \|f(x)\|$

3 votes

$f(c)\int_{1}^{\infty} f(x) \phi(x) dx =g(c)\int_{1}^{\infty} g(x) \phi(x) dx$

3 votes

Directional derivative in the direction of a sum of two vectors.

2 votes
Accepted

Limit Behavior of Differential Equation

2 votes
Accepted

Why are there factors of $2 \pi r$ in this volume integral?

2 votes
Accepted

Initial condition of wave equation using d'Alembert's method

2 votes
Accepted

Maximum number of $0.5$ cm diameter circles that can fit in a $5$ cm $\times$ $5$ cm square

2 votes
Accepted

Initial Value Problems defined on some interval

2 votes

Change of variables - Wirtinger derivatives

2 votes
Accepted

Distinguish dF / dx and ∂F / ∂x in "Implicit function theorem"

2 votes
Accepted

How to express a parametrized curve in spherical coordinates

2 votes
Accepted

Characteristic curves PDE $uu_x+u_y=u$ with $u(x,0)=-x$

2 votes
Accepted

Show that there exist a function $\varphi\in H^{1}(\mathbb{R}^N)$ such that $f(\varphi)>0$ .

2 votes
Accepted

How to prove that a function $f\colon c_0\to c_0$ is not Lipschitz continuous?

2 votes
Accepted

Are $\delta(x-5)$ and $\delta(5-x)$ the same function?

2 votes
Accepted

Proving a Line-integration along a parametrized curve identitiy.

2 votes
Accepted

Vanishing of the integration along vertical line

2 votes

How to prove that $\lim\limits_{\epsilon\rightarrow 0}\int_{-\infty}^{\infty}f_\epsilon(x)g(x)dx=g(0)$ (Dirac delta function))

1 vote
Accepted

divergence of gradient of scalar function in tensor form

1 vote

Path dependency of complex integrals

1 vote

Finding the solution to differential equation dilemma.

1 vote

For given differential equation with intial condition how many solution are possible through that point?