Differential Equation Problem?
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so here are the details: The population doubles every week(excluding other factors) 20,000 are eaten a day by predators the initial population is 200,000. find an equation for the population of mosquitoes at any time t. i came up with the differential...
Answer:
P(t) = 200,000 * 2^t-140000 The derivative of this would tell you the rate of change of the population...
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Other solutions
Im having some trouble solving a differential equation. Any Suggestions would be appreciated. The problem is shown as: Find all solutions to the differential equation dy/dx = sin(x-y). Hint: there are infinitely many singular solutions but they are easy...
Answer:
Hi, there, as promised I am back. The first steps I leave as they were, for reference, and add from...
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I thought out one problem in physics. But I have hard trouble setting up the equation. The problem is Lets say there is a elevator with a base area of A In a shaft at an height of H . The mass of the elevator is M. We assume that the shaft beneath the...
Answer:
(I will be neglecting air resistance) There's one force (gravity) pulling the elevator downwards: Fg...
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I thought out one problem in physics. But I have hard trouble setting up the equation. The problem is Lets say there is a elevator with a base area of A In a shaft at an height of H . The mass of the elevator is M. We assume that the shaft beneath the...
Answer:
Assume T = constant Yes, you have a correct ODE, however, try the energy equation 0 = g h(t) - c/h(t...
ANZI at Yahoo! Answers Mark as irrelevant Undo
Hello I was wondering if someone could help me on a problem, if so it would be greatly appreciated. Is this a differential equation problem, and if so could some show me how to go about doing it? Find all functions f that satisfy the equation (integral...
Answer:
Let y = integral f(x) dx [Actually, this would be written better as y = integral[a, x] f(t) dt where...
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The differential equation below models the temperature of a 95°C cup of coffee in a 17°C room, where it is known that the coffee cools at a rate of 1°C per minute when its temperature is 67°C. Solve the differential equation to find an expression for...
Answer:
dy/dt = - (y-17)/50 dy/(y-17) = -dt/50 integrate both sides ln ly-17l = -t/50 + C y - 17 = e^(-t/50...
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A country has 10 billion dollars in paper currency in circulation, and each day 33 million dollars comes into the country's banks. The government decides to introduce new currency by having the banks replace old bills with new ones whenever old currency...
Answer:
Every day, 33 million dollars come into the banks. If x(t) is the number of new dollars (in billions...
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Consider the diff. equation: dy/dx= (1+y)/x, where x does not equal 0. Find the particular solution y=f(x) to the differential equation with the initial condition f(-1) = 1 and state its domain. So I tried to put the equation into y= form and I got y...
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In air resistance problem, the differential equation describing the velocity of a falling mass subject to air resistance proportional to the instantaneous velocity is given by m(dv/dt)-mg=-kv where is a constant of proportionality. The positive direction...
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A 500 gallon tank initially contains 100 gallons of alcohol. Starting at t=0, pure water is pumped into the tank at a rate of 2 gallons per minute, and the completely mixed contents of the tank are pumped out at a rate of 1 gallon per minute. Since water...
Answer:
A(t) = volume of alcohol in tank at time t -----> A(0) = 100 V(t) = volume of mixture in tank at...
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