Find the infinite series for the following differential equation
about x = 0, using Frobenius method, Bessel's or Legrende's
equations.
x^2y" + 4xy' + (2+x)y = 0
Find the infinite series solution about x = 0 for the following
differential equation x2y"+ 4xy' + (2+x)y = 0,without using k
substitution and using Bessel's, Legrende's, or frobenius
equations.
Power series
Find the particular solution of the differential equation:
(x^2+1)y"+xy'-4y=0 given the boundary conditions x=0, y=1 and y'=1.
Use only the 7th degree term of the solution. Solve for y at x=2.
Write your answer in whole number.
5. y′′ + xy′ = 0, x0 = 0 Series Solution Method. solve the given
differential equation by means of a power series about the given
point x0. Find the recurrence relation; also find the first four
terms in each of two linearly independent solutions (unless the
series terminates sooner). If possible, find the general term in
each solution.