L12: Wronskian (Ordinary Differential Equation M.Sc. Mathematics)

c1y1+c2y2 is the general solution of homogeneous 2nd order DE if and only if y1, y2 are linearly independent, i.e., wronskian y1, y2 is non-zero.

[adityaagarwal]

Sir, isnt lemma 2 valid for any two functions? Because in its derivation we dont use the fact that y1 and y2 are solutions of a second order homogeneous ode. I think lemma 2 does not hold for that question because g(x) is not differentiable at x=0.