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

Is it possible to giveaa value so that e^(-ax^2) becomes a solution to the differential equation y''(x)+x*y'(x)+y = 0

2. Relevant equations

Already given.

3. The attempt at a solution

Hello!

I'm new to this forum and doesn't really know how the fancy Latex stuff works, but I hope you'll understand me. Anyhow, I have been sitting with this problem for a while.

Should I take the derivative of e^(-ax^2) and put it into the equation and in that way (somehow) find outxanda?

After the I have taken the derivative and put it into the equation I get this, which I'm fairly sure is correct :/

4a^2*(e^(ax^2))+2a(e^(ax^2))+2a(e^(ax^2))*x+(e^(ax ^2))= 0

What am I supposed to do next?

I hope you understand me.

Thanks. (nice forum btw)

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# Homework Help: Need help with differential equation of type y''+ay'+by=g(x)

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