The population dynamics of many fish species (such as salmon) can be described by the Ricker curve:  y=axe-bx, where a > 1 and b > 1 are constants, x is the size of the parental stock, and y is the number of offspring. Determine the size of the parental stock that maximizes the number of offspring. (Your answer will involve the constants a and b).

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.