Show that a nonzero polynomial function y = (x) cannot satisfy the equation y'= y. Use this
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Show that a nonzero polynomial function y = ƒ(x) cannot satisfy the equation y'= −y. Use this to prove that neither ƒ(x) = sin x nor ƒ(x) = cos x is a polynomial. Can you think of another way to reach this conclusion by considering limits as x→∞?
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Let p be a nonzero polynomial of degree n and assume that p satisfies the differential equation y y ...View the full answer
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