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Suppose f and g are differentiable functions on (0,∞) such that f'(x)=−g(x)x and g'(x)=−f(x)x, for all x>0. Further, f(1)=3 and g(1)=−1.If f(x)−g(x)=Bxm, for all x>0 and some constant B, then the value of m equals |
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Answer» Suppose f and g are differentiable functions on (0,∞) such that f'(x)=−g(x)x and g'(x)=−f(x)x, for all x>0. Further, f(1)=3 and g(1)=−1. |
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