5. Consider the equations: det f(x) = A(1+)™* g(x) = A· ex and %D %3D For x =1 (a one year investment), and A = 1 (a $1 investment) we have: %3D n.1 f(1) = 1(1+)" g(1) = 1· e"1 and Simplified: f(1) = (1 + #)" and g(1) = e™

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A: Solution.

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A:

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A:

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A:

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A: Given:  where,

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A:

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A:

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A: According to the given information it is required to solve the given initial value problem:

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A: *concept:- integration to be perform.

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A: For given statement

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A:

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A: Ju

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A: We can solve this using given information

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A: This question is related to the application of derivatives.

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A:

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A:

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A: Given

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A: We will use Euler-Lagrange equation to solbe the optimization problem.

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A: We need to solve this problem using Euler's Method.

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A:

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A: From the given statement, the initial value problem dx/dt =x – x3 with x (0) = x0.

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A: Here, we need to use Euler's Method to solve given problem.