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# Taylor Approximation Related Problem

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Questions pertain to Second order Taylor approximations and integrals for two first order differential equations.

https://brainmass.com/math/calculus-and-analysis/taylor-approximation-related-problem-10994

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a)We know that, in general we can write the following Taylor series:

similarly:

Now if we consider the same step size of h, we can rewrite the same expression as:

and

Let's call them equations (1-1) and (1-2) and we have:

...

#### Solution Summary

Second order Taylor approximations and integrals are found for two first order differential equations.

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