A fish hatchery has 600 fish at t 0, when harvesting begins at a rate of b> 0 fish/year. The fish population is modeled by the initial value problem y'(t) = 0.03y-b, y(0) = 600, where t is measured in years. a) Find the fish population, for t>0, in terms of the harvesting rate b. b) Graph the solution in the case that b 60 fish/year. Describe the solution. ..... a) Find the fish population in terms of the harvesting rate b. y(t) =
A fish hatchery has 600 fish at t 0, when harvesting begins at a rate of b> 0 fish/year. The fish population is modeled by the initial value problem y'(t) = 0.03y-b, y(0) = 600, where t is measured in years. a) Find the fish population, for t>0, in terms of the harvesting rate b. b) Graph the solution in the case that b 60 fish/year. Describe the solution. ..... a) Find the fish population in terms of the harvesting rate b. y(t) =
A fish hatchery has 600 fish at t 0, when harvesting begins at a rate of b> 0 fish/year. The fish population is modeled by the initial value problem y'(t) = 0.03y-b, y(0) = 600, where t is measured in years. a) Find the fish population, for t>0, in terms of the harvesting rate b. b) Graph the solution in the case that b 60 fish/year. Describe the solution. ..... a) Find the fish population in terms of the harvesting rate b. y(t) =
Can someone please explain it to me ASAP??!! Special First-order Linear Differential Equations
Transcribed Image Text:A fish hatchery has 600 fish at t= 0, when harvesting begins at a rate of b>0 fish/year. The fish population is modeled by the initial value problem y'(t) 0.03y-b,
y(0) = 600, where t is measured in years.
a) Find the fish population, for t 0, in terms of the harvesting rate b.
b) Graph the solution in the case that b= 60 fish/year. Describe the solution.
...
a) Find the fish population in terms of the harvesting rate b.
y(t) =
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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