Use power series to solve the initial-value problem (x²-4)y" + 6xy + 4y = 0, y(0) = 1, y'(0) = 0. CO y = Σ 22n + Σ 2n+1 help (formulas) 7=0 n=0
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- Use power series to solve the initial-value problem y = Σ 710 2n+ y" + 3xy+3y=0, ∞ n=0 y(0) = 1, 2n+1. y/ (0) = 0. help (formulas)Let y" + 2xy = 0 Find general solution for y(x) as a series y(x) = > Anx" n=0 Show the recursion equations.Find the power series solution near X, =0 of the following equation (x² +1)y"- 4xy'+ 6y = 0.
- Find one series solution of the 'modified Bessel equation' x²y" + xy' - x²y = 0.Find the first four nonzero terms in a power series expansion of the solution to the given initial value problem. y'' - 6e²xy' + 5( cos x)y=0; y(0) = -1, y'(0) = -1 13 |-x-1/2x²- 6 (Type an expression that includes all terms up to order 3.) y(x) = -1-x-Write the Correct solution and share the clear photo of the answers and do only b and c please thanks in advance