Given below is the recurrence relation for a power series solution of a differential equation about the ordinary point x0 = 2. Find the first four non-zero terms in each of the two linearly independent solutions. a2 = a0/2 , an+2 = (an+an−1)/ (n+2)(n+1) , for n ≥ 1

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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.