Question: The variables t and y are connected by the differential equation dt dy 1 =y(3-y), 3 where 120 and y 20. Given that y=

The variables t and y are connected by the differential equation dt

The variables t and y are connected by the differential equation dt dy 1 =y(3-y), 3 where 120 and y 20. Given that y= 2 when t=0, show that 3e' y = 1+ e. Show that y 3 when t and sketch the graph of y against t. Find the difference value in / when y varies from 4 11

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