I know the result that if $y_1$ and $y_2$ are two solutions of the differential equation $$y’’+p(x)y’+Q(x)y=f(x)$$ then Wronskian $W(y_1,y_2)=ce^{\int -p(x)dx}$ of $y_1$ and $y_2$ is given by Abels Theorem ($ P,Q $ and $f $ are continuous functions in some open interval I). So by Abels theorem Wronskian does not change sign because of constant $c$. Now I am searching counter example of differential equation for which coefficient functions are discontinuous so that Wronskian changes Sign i.e. Wronskian some time becomes positive and sometimes negative. Please provide some counter example. Thank you.
2026-02-24 02:02:42.1771898562
Counter example for Wronskian Concept .
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