Given y' = 1 + (t – y)?, 2sts 3, y(2) = 1 with h= 0.5. Then using Taylor's method of order 2, the approximation of the solution at t, Select one: а. 1.875 b. 2.125 с. 1.75 26 d. 2.375

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A: Explanation of the answer is as follows

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A: We can find the correct option as below.

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A: We will find out the required solution.

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A: As per our company guidelines, we are supposed to answer first question only. Please resubmit other…

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A: Consider the provided question, (b) (i)

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.