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For the differential equation 3.xy" (x) + (1 + x²)y'(x) + (1 – x)y(x) = 0 X = х - (a) Find the recursion relation for th
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For the differential equation 3.xy" (x) + (1 + x²)y'(x) + (1 – x)y(x) = 0 X = х - (a) Find the recursion relation for th
For the differential equation 3.xy" (x) + (1 + x²)y'(x) + (1 – x)y(x) = 0 X = х - (a) Find the recursion relation for the coefficients in a power series solution about x = 0. (10 points) (b) Show that there are two independent series solutions and find the first three terms in each one. (15 points) (c) Find the radius of convergence of each series. (10 points)
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