Mathieu's equation, defined as, đều gt2 + [w2 + 2e cos(2t)] u = 0, describes the stability of a pendulum with natural frequency w whose pivot point is oscillated in the vertical direction at a frequency of 2 and amplitude of 2€. a) assume a regular perturbation expansion, u= u(t) + eui(t) + and solve for uo, uz if the initial conditions are u(0) = 1 and du (0) = 0. b) what modes are resonant at order ? c) write down the equation for order o(42) and determine what frequencies are resonant at the next order.

close lines strong magnet less close weaker

the order for strong to weak forces such as

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force

the fundamental forces are those forces that act between to objects or element to make interactions. there are four types of fundamental forces such as strong and weak nuclear forces (due to protons and electrons), electromagnetic force (due to the motion of electrons) and gravitational force (due to orbital movement of the planet). if these forces are arranged on the basis of their maximum strength then the order is

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force

305.7

explanation:

density =m/v

density =917/3.00

density = 305.

approximately = 305.7

in four significant figures