In mass-spring-damper systems with external forces, the mathematical solution to the dy- namics equations consists of a homogeneous solution and a particular solution. the particular solution is also called the steady-state solution. explain why the homogeneous solution does not contribute to the steady-state solution

A-mn has a cubic structure with a0 0.8931 nm and a density of 7.47 g/cm3. b-mn has a different cubic structure, with a0 0.6326 nm and a density of 7.26 g/cm3. the atomic weight of manganese is 54.938 g/mol and the atomic radius is 0.112 nm. determine the percent volume change that would occur if a-mn transforms to b-mn.