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Question: How to numerically solve differential equation?

Question:How to numerically solve differential equation?

ingeniouslyfowl 15 Maple 17
dsolve numeric differential-equations
July 01 2017
3

I'm trying to numerically solve the differential equation: y' = -2xy + 1. Naturally, I come across the non-elementary integral of e^(x^2). By hand, I used a 2nd degree MacLaurin polynomial to get y = xe^(-x^2) + x^3/3e^(-x^2)+x^3/6e(-x^2). 

How do I use Maple to numerically solve this, with step sizes of h=0.1 and h=0.05 and plot them?
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