Question: Let f,g in F(R,R) be the function defined by f(t)=e^(rt) and g(t)=e^(st) where r is different than s. Prove that f and g are linearly

Let f,g in F(R,R) be the function defined by f(t)=e^(rt) and g(t)=e^(st) where r is different than s. Prove that f and g are linearly independent in F(R,R)

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