Questions tagged [wolfram-alpha]

For mathematical questions related to the usage of Wolfram Alpha.

506 questions
90 views

Wolfram alpha solve differential equation assume real positive parameters

I'm trying to solve the following differential equation with Wolfram Alpha (I have a pro subscription): y''+2*a*y'+(a^2-c^2-b/d*Exp(-x/d)-b^2*Exp(-2*x/d))*y=0 I ...
57 views

Understanding this graph

The function is given as $f(x)=2x+3x^\left(2/3\right)$. The enclosed graph is from wolfram.. My question is why doesn't $f(-1)=1$ show up to the left of the y axis. I don't see why the domain of ...
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Using WolframAlpha to check cycle products for figuring out L/R cosets

I've been told and have noticed that WolframAlpha computes the order of elements a little differently than my class. How would I plug in multiple cycles so that I can check my work? I have noticed ...
6k views

Why does Wolfram|Alpha make a mistake here?

We want to evaluate $$\lim_{x \to -8}\frac{\sqrt{1-x}-3}{2+\sqrt{x}}.$$The solving process can be written as follows:\begin{align*}\lim_{x \to -8}\frac{\sqrt{1-x}-3}{2+\sqrt{x}}&=\lim_{x \to ...
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A specific homogeneous polar differential equation

In an assignment of our school, we are asked to solve $$\frac{\mathrm{d}y}{\mathrm{d}x} = \frac{x + y - 3}{x - y - 1}$$ by turning it into a homogeneous polar differential equation (equation of the ...
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Reduction of appearing dilogarithms

I have a series of dilogarithms with various arguments and I was just wondering if it is possible to tell if they are all independent (that is to say, cannot be transformed into each other through e.g ...
54 views

How does this infinite product work?

$\prod_{n=1}^{\infty} ({ \frac n {n+1}}) ^{(-1)^n}$ Typed this infinite product into Wolfram Alpha and I got an approximate result of 1.5708. I wonder if anyone studied this infinite ...
28 views

Wolfram|Alpha: Calculate an expression for $x^2y=-2$

I would like to calculate the expression $(xy)^8*x^8$ knowing that $x^2y=-2$. What should I write in Wolfram Alpha to get the expected result? Kind regards, Alexis.
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When does WolframAlpha refuse to give the precise value?

I was computing the length of the curve $y=e^x$ between $x=1$ and $x=2$. When I input "arc length of e^x between 1 and 2" into WolframAlpha, it gives me only an approximation as follows: However, ...