Diff EQ project help

[P_Rog]

I have a project assigned for my differential equations class and i was looking for some help on how to get started. I'm supposed to solve the initial value problem:

y' = f(x,y)

y(x(0)) = y(0)

 

by taking into account the method of Picard, which we discussed in class. the problem is :

 

y' = x*y

y(0) = 1

 

i need to show that y(x) converges to the true solution. Our prof wants us to use a math software package which I don't have much experience in. I do know fortran, but don't know if that's any help. Im looking for a recommendation on what software to use, maybe some help on the code, or a general overview of how the problem should be handled. thanks.