Use the RK4 method to approximate y(1.2), where y(x) is the solution of the initial-value problem x?y" - 2xy' + 2y 0, y(1) = 6, y'(1) = 6, where x > 0. First use h = 0.2 and then use h = 0.1. Find the exact solution of the problem, and compare the actual value of y(1.2) with approximated values. (Round your answers to four decimal places.) y(1.2) =7.1 y(1.2) z7.1 y(1.2) = 7.2 x (h - 0.2) X (h = 0.1) v (exact value)

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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.