Let y = > anx" be the power series solution in x to the initial value Σ n=0 5 problem 2y" + 5xy' + (4+ 2x?)y = 0 with y(0) = 3 and y'(0) = -2. Find ) Anr". n=0 the 5th degree polynomial approximation to the solution.

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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.