Solve the ODE d4y d3y d2y dy - + 16- + 86 d'? + 176-dt + 105y = 1 dt 4 dr3 r using partial fraction expansion. Note you need to calculate the roots of a fourth-order polynomial in s. All initial conditions on y and its derivatives are zero.
Chemistry Notes Chapter 6: Thermochemistry Energy- the capacity to do work or transfer heat. All forms of energy are - Potential - Kinetic Kinetic energy results from motion and depends on the object’s mass m and its velocity v: KE=1/2 mv^2 Potential Energy is energy possessed by an object by virtue of its position or Stored Energy Chemical Energy: energy stored in the structural units of substances. The amount of chemical energy depends on the types and arrangement of atoms. Conservation of Energy Kinetic and Potential energy are interconvertible. Dropping an object converts potential energy to kinetic energy. A chemical reaction that gives off heat converts chemical energy