A flock of 100 goats on a remote island are suffering from a new disease. Let G(1) be the number of sick goats at time t. Suppose that 30 goats are sick initially and the disease is spreading at a rate proportional to the product of the time elapsed and the square root of the number of sick goats. Give the mathematical model (IVP) for G. dG kG, G(0) = 30 dt dG b) kG, G(0) = 100 dt dG = kt/G, G(0) = 30 dt

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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.