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To begin with, I have an example problem that asks to find a complete solution for: y'+ 2xy = x
The text says to multiply both sides by e^int a(x) dx
In this case, that equals e^x^2
It then continues by multiplying.
1) e^x^2 * y' + e^x^2 * 2xy = e^x^2 * x
or
2) [e^x^2 * y]' = x * e^x^2
I do not understand how you can go from 1 to 2
Will you please give me a detailed description of how 2 was derived from 1?
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