Solving Initial Value Problem with f(x)=1 and erf(x)

[ws0619]

Homework 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?

Thanks!

 

[rock.freak667]

$$\frac{dy}{dx}+P(x)y=Q(x)$$

In this form use an integrating factor

$$e^{\int P(x)dx}$$

 

[ws0619]

$$\frac{dy}{dx}+P(x)y=Q(x)$$

In this form use an integrating factor

$$e^{\int P(x)dx}$$

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