Chapter 9 - Systems of Differential Equations - 9.7 Some Applications of Linear Systems of Differential Equations - True-False Review - Page 634: a

False

A coupled spring-mass system consisting of two masses and two springs can be solved as a first-order linear system $x′ = Ax$, where A is a $4 \times 4$ matrix whose entries are determined by the masses and spring constants. Hence, the statement is false.