Ex. 12. Let u (x) and v (x) satisfy the differential equations du + p(x)u = f(x) and + p (x)v = g (x), where p (x), f(x) and g (x) are dx continuous functions. If u (x1) > v (x1) for some x¡ and f(x) > g (x) for all x>X1, prove that any point (x, y), where x >x1 does not satisfy the equations y = u (x) and y = v (x).

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