Use Newton's method with the specified initial approximation x, to find x3, the third approximation to the solution of the given equation. (Round your answer to four decimal places.) x5 = x2 + 2, x, = 1

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Q: 1. Use the following methods to solve for the root of the equation f(x) = xe * – sinx

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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.