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what does this answer by maple to dsolve mean?

From "Nasser M. Abbasi" <nma@12000.org>
Newsgroups comp.soft-sys.math.maple
Subject what does this answer by maple to dsolve mean?
Date 2013-07-07 23:07 -0500
Organization Aioe.org NNTP Server
Message-ID <krddud$3gs$1@speranza.aioe.org> (permalink)

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Maple 17.01 on windows.

-------------------------
restart;
ode146:=x^2*diff(y(x),x)+a*y(x)^2+x*y(x)^3=0:
dsolve(%,y(x));
-------------------------

answer is


_C1+(x+(1/2)*a*sqrt(Pi)*sqrt(2)*erf((1/2)*sqrt(2)*
(a*y(x)+x)/(y(x)*x))*exp((1/2)*(a*y(x)+x)^2/(y(x)^2*x^2)))*
exp(-(1/2)*((a-x)*y(x)+x)*((a+x)*y(x)+x)/(y(x)^2*x^2)) = 0

I was expecting an answer such as y(x)= ... some function of x

But the above is just ... some function of x = 0

what happend to the y(x)=... format in this case?

Did this happen becuase it can't find a solution for
y(x) from the final answer it gave at the end? since
doing solve(%,x) did not evaluate.

thanks,
--Nasser

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Thread

what does this answer by maple to dsolve mean? "Nasser M. Abbasi" <nma@12000.org> - 2013-07-07 23:07 -0500
  Re: what does this answer by maple to dsolve mean? "G. A. Edgar" <edgar@math.ohio-state.edu.invalid> - 2013-07-08 06:16 -0600
    Re: what does this answer by maple to dsolve mean? "Nasser M. Abbasi" <nma@12000.org> - 2013-07-08 11:18 -0500
      Re: what does this answer by maple to dsolve mean? "G. A. Edgar" <edgar@math.ohio-state.edu.invalid> - 2013-07-09 05:20 -0600

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