Show that y1 D sin x2 and y2 D cos x2 are linearly
Chapter , Problem 31(choose chapter or problem)
Show that y1 D sin x2 and y2 D cos x2 are linearly independent functions, but that their Wronskian vanishes at x D 0. Why does this imply that there is no differential equation of the form y00 C p.x/y0 C q.x/y D 0, with both p and q continuous everywhere, having both y1 and y2 as solutions?
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