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 $\displaystyle 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.