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Question: why dsolve solution sometimes shows as implicit when no implicit option is given?

Question:why dsolve solution sometimes shows as implicit when no implicit option is given?

nm 8552 Maple 2017
dsolve
July 14 2017
2

Sometimes dsolve returns solution as implicit, even when not using the `implicit` option. For example

restart;
ode:=diff(y(x),x)=(x*y(x))^(1/2):
sol:=dsolve(ode,y(x));

Gives

Which is the same result if I had used 'implicit'.

Is there a way to tell dsolve not to do this? is it becuase it can't solve for y(x) from the above?

Maple 2017.1

 
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