A-LevelMathematicsDifferential equationsMay/June 2024Paper 3 Q1111 Marks
In a field there are 300 plants of a certain species, all of which can be infected by a particular disease. At time t after the first plant is infected there are x infected plants. The rate of change of x is proportional to the product of the number of plants infected and the number of plants that are not yet infected. The variables x and t are treated as continuous, and it is given that dx/dt = 0.2 and x = 1 when t = 0.
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