We can also use power series methods in nonhomogeneous equations. a) use power series methods to solve y00 xy = 1 at the point x0 = 0. hint: recall the geometric series. b) now solve for the initial condition y(0) = 0, y0(0) = 0.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)