MAT136H1 Lecture Notes - Integral Curve
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MAT136H1 Full Course Notes
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Question #2 (medium): interpreting the population phase trajectory. Direction field can be drawn based on the differential equation, and several solution curves can be sketched base on the direction field. This direction field is based on two variables on the horizontal and vertical axis. The direction field shows what happens to the relationship between these two variables as the parameter , meaning time passes. As the time is traced out along the curve, interpretation of the solution curve means picking the right numeric coordinate values for and and interpreting their relationship based on the context the question is given. Solution: at time , it starts out with horses and lion. Then as time passes by both horse and lion population drops. At the horse population is at its lowest. At the lion population reaches its lowest; then the horse population gradually increases and at the horse population reaches its max.
