- #1
swebonny
- 1
- 0
Homework Statement
Is it possible to give a a value so that e^(-ax^2) becomes a solution to the differential equation y''(x)+x*y'(x)+y = 0
Homework Equations
Already given.
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 out x and a?
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)