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(Solved): Consider the direction field below for a differential equation \( y^{\prime}=y(y-2)(y-5) \). Use th ...
Consider the direction field below for a differential equation \( y^{\prime}=y(y-2)(y-5) \). Use the graph and equation to answer the following questions. 1. Find the equilibrium solutions for the differential equation. Answer (separate by commas): \( y= \) 2. If the initial condition is \( y(0)=c \), for what values of \( c \) is \( \lim _{t \rightarrow \infty} y(t) \) finite? Answer (as an interval):