# Thread: Verify solution of a differential equation

1. ## Verify solution of a differential equation

Verify that the indicated function is an explicit solution to the differential equation:
2y'+y= 0; y=e^(-x/2)

I dont know where to start, can some one please help me? Thank you.

2. Originally Posted by cowboys111
Verify that the indicated function is an explicit solution to the differential equation:
2y'+y= 0; y=e^(-x/2)

I dont know where to start, can some one please help me? Thank you.
Yes, find the derivative of $y ' = \frac{d}{dx} \left( e^{-x/2} \right) = - \frac{1}{2} e^{-x/2}$ and substitute int the LHS and show it's = 0.