Trying to solve a differential equation

[Gspace]

Homework Statement

I have three diff eqs:

a) y'(t) + 2t y(t) = 0
b) y'(t) - 2t y(t) = 0
c) y(t) + y(t) = 0.

I'm trying find which of these diffeqs is solved by

y(t) = 8 E^-t^2 ?


Please Help!

 

[rock.freak667]

The solution y(t) would satisfy the DE. So find y'(t) and sub it into the above equations and see which one gives you 0 (what is the on the right).

 

[HallsofIvy]

Homework Statement

I have three diff eqs:

a) y'(t) + 2t y(t) = 0
b) y'(t) - 2t y(t) = 0
c) y(t) + y(t) = 0.

I'm trying find which of these diffeqs is solved by

y(t) = 8 E^-t^2 ?


Please Help!

So differentiate y= 8e^{-t^2}, plug it into the equations and see if it satisfies any of them!

(Do you mean "e", the base of the natural logarithm rather than "E"? And (c) is not a differenjtial equation. Do you mean y'(t)+ y(t)= 0?)

 

[Gspace]

hallsofIvy:

Yes, it's suppose to be y'(t)+ y(t)= 0