Mathematics Questions, Problems & Solutions : TransWikia.com ~ Page 209

What is the radius of convergence of $a_n$ where $a_{n+1}=frac{n-5}{n+1}a_n$?

Consider a sequence ${a_n}$ which satisfies$$a_{n+1}=frac{n-5}{n+1}a_n$$What is the radius of convergence of $sum _n a_n x^n$?Clearly, $a_n=0$ for all $ngeq 6$....

Asked on 07/28/2020 by Lucas

2 answer

Discretization formula for a system of two differential equations. "Solution to one of these is the initial condition of the other". In which sense?

Consider the following stochastic differential equationbegin{equation}dy=left(A-left(A+Bright)yright)dt+Csqrt{yleft(1-yright)}dWtag{1}end{equation}where $A$, $B$ and $C$ are parameters and $dW$ is a Wiener increment.Equation $(1)$...

Asked on 07/27/2020 by Strictly_increasing

0 answer

Calculating distance when velocity is given

How to find the distance in $0 < t < 2$ when the velocity is given: $$v(t) = frac{t^3}{10} - frac{t^2}{20} + 1$$ I have tried the following...

Asked on 07/27/2020 by Aruha

1 answer

dimension of intersection of subspaces, one of which of dimension $n-1$

Let $H$ be a linear subspace of dimension $n-1$ of a linear space $V$ of dimension $n$. Let $W$ be some subspace of $V$....

Asked on 07/27/2020 by Gulzar

1 answer

Let $A$ be a subset of $mathbb{R}$ such that $A$ is bounded below with inf $A = L > 0$.

Let $A$ be a subset of $mathbb{R}$ such that $A$ is bounded below with inf $A = L > 0$. Prove that if $a,b <...

Asked on 07/26/2020 by Outlier

2 answer

Show that the perturbation of identity satisfies certain continuity and Lipschitz properties

Let $dinmathbb N$, $uin C^{0,:1}(mathbb R^d,mathbb R^d)$ and $c:=|u|_{C^{0,:1}(mathbb R^d,:mathbb R^d)}$ (the semi-norm given by the Lipschitz constant). I would like to show that there is a...

Asked on 07/24/2020 by 0xbadf00d