How do I solve this system of ODEs?

From: Protoman <Protoman2050@xxxxxxxxx>
Date: 15 May 2007 15:46:13 -0700

How do I solve this system of ODEs?

y'+2y=2x
2y'+y=4x

Here's my attempt:

y'+2y=2x
(e^x^2)y'+(e^x^2)2y=(e^x^2)2x
(e^x^2y)'=(e^x^2)2x
Int(e^x^2y)'=2Int(e^x^2x)
e^x^2y=e^x^2
y=1

0+1=4x
1=4x
x=.25

(.25,1)

I don't think this is right. Help, please. Thanks!!!!

.

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