Consider the initial value problem y’=ty(4−y)/3, y(0)=y0.
(a) Determine how the behavior of the solution as t increases depends on the initial value y0.
(b) Suppose that y0=0.5. Find the time T at which the solution first reaches the value 3.98
Consider the initial value problem y’=ty(4−y)/3, y(0)=y0.
(a) Determine how the behavior of the solution as t increases depends on the initial value y0.
(b) Suppose that y0=0.5. Find the time T at which the solution first reaches the value 3.98