Error function

[firetail]

The problem statement:
Consider the initial value problem y'+e^(x)y=f(x), y(0)=1.Express the solution of the initial-value problem for x>0 as a non elementary integral when f(x)=1 and also in term of erf(x)

Can somebody please help me solve this question?

My working step:
e^(?e^x dx)=e^(e^(x) )
e^(e^(x) )y’+(e^x)(e^(e^x ))y=e^(e^(x) )
d/dx(e^(e^(x) )y)= e^(e^(x) )
e^(e^(x) )y=?e^(e^x ) dx

I am using integrating factor to solve this question,but how can I form error function?

Thanks!

 

[Deleted member 4993]

The problem statement:
Consider the initial value problem y'+e^(x)y=f(x), y(0)=1.Express the solution of the initial-value problem for x>0 as a non elementary integral when f(x)=1 and also in term of erf(x)

Can somebody please help me solve this question?

My working step:
e^(?e^x dx)=e^(e^(x) )
e^(e^(x) )y’+(e^x)(e^(e^x ))y=e^(e^(x) )
d/dx(e^(e^(x) )y)= e^(e^(x) )
e^(e^(x) )y=?e^(e^x ) dx

I am using integrating factor to solve this question,but how can I form error function?

Thanks!

Please post the complete problem - as posted does not make sense.

What is the definition of "error function"?

For a quick refresher go to:
http://mathworld.wolfram.com/Erf.html
http://en.wikipedia.org/wiki/Error_function