# Questions tagged [equation-solving]

Questions on the analytic and numerical equation solving functions of Mathematica (Solve, Reduce, NSolve, FindRoot, DSolve, RSolve, etc.).

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### NArgMax returns not a number error

I have the following code: ...
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### Looking for a starting point to solve a PDE with vector-coefficients

I am looking for a good source for Mathematica in order to solve a PDE with vector coefficients. I have found this: https://reference.wolfram.com/language/FEMDocumentation/tutorial/SolvingPDEwithFEM....
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### Faster way to generate a sequence of numbers

There is a sequence of Numbers that satisfies (1) $a_1+p\geq 0, a_2+p=0, p\in R$ (2) $a_{4n}>a_{4 n-1}, (n=1,2,...)$ (3) $a_{m+n}\in\{a_m+a_n+p, a_m+a_n+p+1\}, (m,n=1,2...)$ I tried to list the ...
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### Problem with plotting a graph using NDSolve to solve a second degree problem

Here is the code I have been trying to solve: ...
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### How to determine values of parameters such that an inequality is satisfied?

Given inequality f[x, y]>0 where f[x, y]=1/16 (-1 + x (2 - x + x^3 (-1 + y)^2 y^2)), how can one find the values ...
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### FindRoot with a big range

I have a variable sig that is related to the variables (b,zQ,zh) given by torootsig, so I ...
156 views

### Show that all coefficients in a recursively defined function are integers

Problem 2 in the 2017 Putnam exam is: Let $Q_0(x) = 1$, $Q_1(x) = x$, and $Q_n(x) = \frac{Q_{n-1}^2(x) - 1}{Q_{n-2}(x)}$. Show that $Q_n(x) \in \mathbb{Z}[x]\ \forall n \geq 0$. (Recall that \$\mathbb{...