How do I tell Wolfram Alpha that I want the fourth derivative of y in a differential equation?
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How do I tell Wolfram Alpha that I want the fourth derivative of y in a differential equation?

For example, how would I enter y^(IV) - 16y = 0? typing out fourth derivative, and putting four ' marks does not seem to work.

Published: Aug 30, 2026

Induction proof dealing with geometric series [duplicate]
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Induction proof dealing with geometric series [duplicate]

$1+r+(r^2)+...+r^n= \frac{1-r^{n+1}} {1-r}$ Any help would be appreciated in solving the geometric series.

Published: Aug 30, 2026

What does this notation mean? F|U
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What does this notation mean? F|U

If $F$ is a function and $U$ is a set, then what does $F|U$ mean? In http://ocw.mit.edu/courses/mathematics/18-101-analysis-ii-fall-2005/lecture-notes/lec...

Published: Aug 30, 2026

Why are modular lattices important?
general

Why are modular lattices important?

A lattice $(L,\leq)$ is said to be modular when $$ (\forall x,a,b\in L)\quad x \leq b \implies x \vee (a \wedge b) = (x \vee a) \wedge b, $$ where $\vee$ ...

Published: Aug 30, 2026

How to find the generating function and the closed form for the generating form
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How to find the generating function and the closed form for the generating form

I'm trying to find the generating function and the closed form for the generating form for this sequence: $0,1,-2,4,-8,16,-32,64...$ I've tried ...

Published: Aug 30, 2026

What is minimum number of edges should be removed from $K_6$ to get planar graph?
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What is minimum number of edges should be removed from $K_6$ to get planar graph?

What is minimum number of edges should be removed from $K_6$ to get planar graph? It is easy to show it just with picture.. but is it possible to prove it...

Published: Aug 30, 2026

What is a trivial and a non-trivial solution in terms of linear algebra?
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What is a trivial and a non-trivial solution in terms of linear algebra?

The homogeneous unique solution always gives a trivial solution but trivial solution consists of zeros e.g $\{0,0,0\}$ but what if the solution is still h...

Published: Aug 30, 2026

Calculating this Riemann sum limit
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Calculating this Riemann sum limit

Calculate the limit $$\lim_{n\to \infty} {\sum_{k=1}^{n} {\left(\frac{nk-1}{n^3}\right) \sin\frac{k}{n}}}$$ How exactly do we calculate this limit of the ...

Published: Aug 30, 2026

Coin Flip Betting System
updates

Coin Flip Betting System

-Read comments before posting I came up with a betting system that seems to defy logic... explain why its wrong? Here's the "logic" behind it Rule: I...

Published: Aug 30, 2026

Can a surjection and injection exist but not a bijection? [duplicate]
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Can a surjection and injection exist but not a bijection? [duplicate]

If I there exists an injection $\phi: S_1 \to S_2$ and a surjection $\tau: S_1 \to S_2$, does there necessarily exist a bijection between sets $S_1$ and $...

Published: Aug 30, 2026

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