Please provide correct solution and working out. Greatly Appreciated!! Question 3Goats of a valuable breed have been introduced onto Goat Island and their population isgrowing.dPdtThe Population (P) is modelled by the differential equation = -0.03 (P M) where tis the number of years that has passed since 2019 and M is an upper bound on thepopulation due to lack of resources. The Government has pledged a money grant to theGoat Island goat keepers if M is less than 10 000 to help improve the environment for thegoats.(a) Use the separation of variables technique to formulate a solution to the differentialequation.(b) In 2019, there were 400 goats and in 2022 there were 1250. Determine whether ornot the goat keepers will be given the government grant.

The population growth of valuable breed goats on Goat Island is described by a differential…

(a) Use the separation of variables technique to formulate a solution to the differential equation. (b) In 2019, there were 400 goats and in 2022 there were 1250. Determine whether or not the goat keepers will be given the government grant.

(a) Use the separation of variables technique to formulate a solution to the differential equation. (b) In 2019, there were 400 goats and in 2022 there were 1250. Determine whether or not the goat keepers will be given the government grant.

ENGR.ECONOMIC ANALYSIS

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ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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