Ex. 5.20 Show that the differential equation 2yex/ydx+(y−2xex/y)dy=0 is homogeneous. Find the particular solution of this differential equation, given that x=0 when y=1.
a. Show that the differential equation 2yex/ydx+(y−2xex/y)dy=0 is homogeneous.
b. Find the particular solution of this differential equation, given that x=0 when y=1.