Explanation Given data: y The given differential equation for the function f ( x ) is f ′ ( x ) = f ( x ) . Method/Formula used: The integral formula ∫ d f f = log e f + A where A is constant of integration determined by the given initial condition. Calculation: The given differential equation is f ′ ( x ) = f ( x ) or d f d x = f d f f = d x ...(1) Integrating both sides of equation (1), ∫ d f f = ∫ d x + A , where A is constant of integration

14th Edition

ISBN: 9781464140051

Author: TAALMAN, Laura, Kohn, Peter

Publisher: W. H. Freeman

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Differential Equations

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Chapter 4.4, Problem 7TF

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To find: The possible formula for the function f(x) from given differential equation.

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The possible formula for the function f ( x ) from given differential equation.

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