Consider the following differential equation. dy cos(x) dy Find the coefficient function P(x) when the given differential equation is written in the standard form + P(x)y=f(x). P(x) = + (sin(x)}y = 1 Find the integrating factor for the differential equation. JP(x) dx Find the general solution of the given differential equation. Give the largest interval I over which the general solution is defined. (Think about the implications of any singular points. Enter your answer using interval notation.) (-) (-1, 1) (0,) Determine whether there are any transient terms in the general solution. (Enter the transient terms as a comma-separated list; if there are none, enter NONE.) Need Help?