1) for given coefficient functions p (x) , q (x) , and w (x) and an unknown function y of the free variable x The function w (x) , sometimes denoted r (x) , is called the weight or density function All secondorder linear ordinary differential equations can be reduced to this form In the simplest case where all coefficients are continuous on the finite closed interval a , b and p hasThank you for your participation!Example \(\PageIndex{2}\) Power Series Solution to the Bessel Equation Find a power series solution to the Bessel equation of order 0 and graph the solution Solution The Bessel equation of order 0 is given by \x^2y″xy′x^2y=0 \nonumber\ We assume a solution of the form \(\displaystyle y=\sum_{n=0}^∞ a_nx^n\)
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