# Verify solution of a differential equation

• Jan 20th 2009, 03:49 PM
cowboys111
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)

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.