# 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 ...
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### 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 ...
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### Why does Wolfram|Alpha make a mistake here?

We want to evaluate $$\lim_{x \to -8}\frac{\sqrt{1-x}-3}{2+\sqrt[3]{x}}.$$The solving process can be written as follows:\begin{align*}\lim_{x \to -8}\frac{\sqrt{1-x}-3}{2+\sqrt[3]{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 ...
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### How does this infinite product work?

${\displaystyle \prod_{n=1}^{\infty} ({ \frac n {n+1}}) ^{(-1)^n}}$ 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, ...