MaplePrimes - answers and comments on Question, Solution Curve in Maple 16

DEplot

Christopher2222 — Thu, 24 Jan 2013 07:18:37 Z

DEplot(diff(y(x), x) = x^2+y(x)^2-1, y(x), x = 0 .. 5, y = -1 .. 5, [y(0) = 0])

There's a singularity

Carl Love — Thu, 24 Jan 2013 07:37:29 Z

Maple is saying that there's a singularity near x = 2.5. Do you have reason to doubt that? Here's the code and plot. You can see that it's approaching an asymptote.

restart;
dq:= diff(y(x),x) = x^2 + y(x)^2 - 1:
DEtools[DEplot](
    dq, y(x), x= 0..2.5, {y(0)=0}
   ,view= [default, -1..5]
   ,arrows= line
   ,title= 'Slope*Field'
);

Thanks

stefancw — Fri, 25 Jan 2013 02:29:12 Z

Thank you very much, this did the trick. I appreciate it.