Consider the case for a particle with energy E in a region where :
V = 0 , x<0; V=Vo, x>0;
for the first region when we write Schrodinger’s equation(Time independent) it will be
-h^2/2m d2ψ/dx2 = Eψ
and for second region it was
-h^2/2m d2ψ/dx2 = (Vo-E)ψ;
My doubt is that won't...