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Let u(x) and v(x) be two continous funct...

Let u(x) and v(x) be two continous functions satisfying the differential equations `(du)(dx) +p(x)u=f(x)` and `(dv)/(dx)+p(x)v=g(x)`, respectively. If `u(x_(1)) gt v(x_(1))` for some `x_(1)` and `f(x) gt g(x)` for all `x gt x_(1)`, prove that any point `(x,y)`,where `x gt x_(1)`, does not satisfy the equations `y=u(x)` and `y=v(x)` simultaneously.

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