Diff. equations
Consider the equation (x^2 ? 2)y''+ 3xy'+ y = 0.
a) Find the general solution as a power series centered at x =0. Write the first six nonzero terms of the solution. And write thesolution using sigma notation with a formula for the coefficients.Write the two linearly independent solutions that form the generalsolution.
b) Find a power series solution satisfying the initialconditions y(0) = 2 and y' (0) = 3. Write the first six nonzeroterms of the solution. And write the solution using sigma notationwith a formula for the coefficients.
