DSolve output with unexpected parameters

[CAF123]

I'm trying to solve a relatively simple equation with DSolve in Mathematica. The equation I'm trying to solve along with the output from mathematica is shown

In[1]:=DSolve[x*y'[x] == -b0*y[x]^2 - b1*y[x]^3, y[x], x]
Out[1]:= 
{{y[x] -> 
   InverseFunction[-((b1 Log[#1])/b0^2) + (b1 Log[b0 + b1 #1])/b0^2 - 
       1/(b0 #1) &][C[1] - Log[x]]}}

This output is more or less useless to me because a) I don't know what #1 or & means in this context and b) I don't understand why it returns the inverse function and how I can then proceed to obtain the function. Can anyone illuminate me?

Thanks!

 

[Dale]

I don't know what #1 or & means in this context

Did you check the documentation? When you don't know what something means then the documentation is the best place to start:
http://reference.wolfram.com/language/tutorial/PureFunctions.html

I don't understand why it returns the inverse function and how I can then proceed to obtain the function.

The inverse function is the solution. The inverse function is itself a function, it is used in certain circumstances when there is not a closed form expression. For example, if you need the inverse of x^2 then the inverse function is Sqrt[x], but when there is no nice expression then it just leaves it as the inverse function.

If you want to see how the function behaves, just plot it.