Consider the nonhomogeneous DE: y ′′
+2y ′
−8y=(8−10x)e x
A) Verify that y p
​
=2xe x
is a particular solution of the given DE. B) Find the general solution of the DE, if both e 2x
and e −4x
are two solutions of y ′′
+2y ′
−8y=0.