Homework Help: AB Calculus

Posted by Hannah on Monday, February 27, 2012 at 12:07pm.

So I'm supposed to verify the solution of the differential equation. The solution is y=e^(-x). The differential equation is 3y' + 4y = e^(-x). What is the problem asking me to do here?

AB Calculus - Steve, Monday, February 27, 2012 at 2:09pm
plug in y to see whether it satisfies the differential equation

y = e^(-x)
y' = -e^(-x)

3y' + 4y = -3e^(-x) + 4e^(-x) = e^-x

so, it does satisfy it.
AB Calculus - Kris, Tuesday, February 28, 2012 at 9:21pm
Oh, okay. I get it now. Thanks!

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