Using the three term Taylor series method with h = 0.1, determine an approximate value

Chapter 1, Problem 1

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QUESTION:

Using the three term Taylor series method with h = 0.1, determine an approximate value of the solution at t = 1 for each of the initial-value problems 1-5. Repeat these computations with h =0.025 and compare the results with the given value of the solution.

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QUESTION:

Using the three term Taylor series method with h = 0.1, determine an approximate value of the solution at t = 1 for each of the initial-value problems 1-5. Repeat these computations with h =0.025 and compare the results with the given value of the solution.

ANSWER:

Step 1 of 3

The three term Taylor series is given by,

 

The initial system is,

                                                               

 

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