(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The symbolic solution of y'=-2xy, y(0)=2 is [tex]y(x)=2e^{-x^2}[/tex]. Display the details of the linear integrating factor method derivation of this symbolic solution, plus a full answer check.

2. Relevant equations

Linear integration factor method uses the standard for y'+p(x)y=q(x)

3. The attempt at a solution

I can solve this no problem. I am having trouble doing the answer checks on these. With previous sections you could just take the derivative of both sides and end up with the original statement. However with this, I cannot seem to make it anywhere close to the original problem.

This for example taking the solution from above:

[tex]y(x)=2e^{-x^2}[/tex]

If I take the derivative of both sides I end up with:

[tex]y'=-4e^{-x^2}[/tex]

Which isn't even remotely close.

What concept am I missing here?

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# Homework Help: Working Out Answer Checks - DE

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