Verify that the functions y1 and y2 are solutions of the given differential equation. Do they constitute a fundamental set? Why or why not?
x²y'′ − x(x+2)y′ + (x+2)y=0,y1​ (x)=x,y2 =xeˣ ,x>0
Hint: we are restricting the interval of existence to x>0.