7. Determine
the first 4 nonzero terms of the Taylor series for the solution
y = φ(x) of the given initial value
problem, y’’ +
cos(x)y’ +
x2y = 0; y(0) = 1,
y’(0) = 1.
What do you expect the radius of convergence to be? Why?
please show all steps
For the given function determine the following: f (x) = (sin x +
cos x) 2 ; [−π,π] a) Find the intervals where f(x) is increasing,
and decreasing b) Find the intervals where f(x) is concave up, and
concave down c) Find the x-coordinate of all inflection points