a.Find the first five nonzero terms in the solution of the given initial-value problem. b. Plot the four-term and the five-term approximations to the solution on the same axes. c.From the plot in part (b), estimate the interval in which the four-term approximation is reasonably accurate. 14.(1 − x)y″ + xy′ − y = 0, y(0) = −3, y′(0) = 2

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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.