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Question: integration to erf function

Question:integration to erf function

casperyc 962 Maple
March 19 2008
0

Hey,

I am doing some ODEs and I met the following problem...

 

The original problem is

 

y(x)*(y(x)-2*x)*diff(y(x),x)=1;

 

and knowing the solutions contains efr function.

 

After several lines of calculation I got

Int(y^2*exp(1)^(y^2),y);

 

 

then maple gives me the answer

 

1/2*y*exp(y^2)+1/4*I*Pi^(1/2)*erf(y*I)

 

I want to know how to compute this output by hand, I meant the (1/2 ,  exp(y^2), 1/4I, and the y*I in erf()   ) ,not the actual evalue of the expresstion

Basically,I dont know how it becomes erf function.and I know the def. of erf function

 

 

Thanks in advance!

 
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