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Question: where did the 3 come from? dsolve question.

Question:where did the 3 come from? dsolve question.

nm 7790 Maple 2017
dsolve
July 22 2017
1

The solution by Maple below is correct, but non-the-less, a little strange.

restart;
dsolve(diff(y(x),x)=3*x^2*(y(x)^2+1),y(x));

Gives

Ofcourse 3*constant is still constant. But it is a little strange and have no reason for it to be there.  When I solve it by hand

What could made Maple put the 3 in there? Again, solution is 100% correct, but it could be simpler.

Maple 2017.1

 

 
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