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0answers
37 views

What do Root[], #, & mean in Wolfram Alpha?

I wanted to find the roots of a particular equation by using Wolfram Alpha. What I get are strange answers. Thay look like this: What do all the symbols there mean and what does the whole thing mean? ...
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1answer
52 views

Is there an analitical solution for such ODE $$ \frac{d y(x)}{dx}=\frac{a*y(x)^3+b}{c* y(x)^3+ d} $$

I have an ODE $$ \frac{d y(x)}{dx}=\frac{a*y(x)^3+b}{c* y(x)^3+ d} $$, $$a,b,c,d - const$$ And I would love to solve it analitically. I tred maple 15 and 17 and got $$ y \left( x \right) =1/2\,{ ...
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2answers
528 views

Have I found a bug in Wolfram Alpha's Partial Derivative Solver?

I was using This Wolfram Alpha Page to calculate the partial derivatives of the sum of two gaussians. It believes the answer to be: $$ e^{-(b-x)^2/2 c^2} $$ but the working shows it as ending on: ...