Answer: In 3644, decide whether the statement is true orfalse. Assume that y = f(x) is a

Chapter 11, Problem 44

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In 3644, decide whether the statement is true orfalse. Assume that y = f(x) is a solution to the equationdy/dx = 2x y. Justify your answer.If g(x) is a different solution to the differential equationdy/dx = 2x y, then limx(g(x) f(x)) = 0.[Hint: Show that w = g(x) f(x) satisfies the differentialequation dw/dx = w.]

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