A transient solution refers to a type of solution for a system of ordinary differential equations (ODEs) that describes the behavior of the system over time before it reaches a steady state. These solutions are typically temporary and highlight how the system evolves from an initial condition towards equilibrium, which can be crucial in understanding dynamic processes. They play a significant role in phase plane analysis, where the trajectory of the system in the phase space reveals how transient behavior influences long-term outcomes.
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