In the study of a nonlinear spring with periodic forcing, the equation y'' + ky + ry³ = A cos ot arises. Let k = 8, r =
Posted: Wed Jul 06, 2022 11:54 am
In the study of a nonlinear spring with periodic forcing, the equation y'' + ky + ry³ = A cos ot arises. Let k = 8, r = 8, A = 2, and >= 9. Find the first three nonzero terms in the Taylor polynomial approximation to the solution with initial values y(0) = 0, y'(0) = 1. The Taylor approximation to three nonzero terms is y(t) = + .... (*)