Differential Equations Question: A 200 gallon tank initially contains 100 gallons of water with 20 pounds of salt. A salt solution with 1/4 pound of salt per gallon is added to the tank at 4 gal/min, and the resulti

Q: Using the attached problem and solution as a format, find the differential equation for: A tank…

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Q: Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 100 mg of…

A: Radium decomposed proportional to amount dy/dt ∞ y dy/dt =ky dy/y = kdt  Integrate on both sides ∫…

Q: 13.) A large tank initially contains 1 kilogram (1000 grams) of salt dissolved in 100 liters of…

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Q: According to Newton’s Law of Cooling, the rate of change of the temperature of an objectcan be…

A: Given the differential equation         dTdt=-kT-A which is separable.

Q: Answer [(a.) t = 300 hours] 1. In differential equation determine the following:  (A.) the time when…

A: Use total rate of change of salt

Q: A liquid is heated so that its temperature is x°C after 1 seconds. It is given that the rate of…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts. Let's…

Q: A tank contains 100 gallons of a saline solution. A saline solution containing 3g of salt per gallon…

A: To write a differential equation for the amount A of salt in the tank at time t

Q: A watering system holds 500 gallons of water. Water is added into the system at a rate of 8 gallons…

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Q: dy Given the differential equation -x²y4 +xy=x*. The degree of this differential equation is dx 40 2…

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Q: A tank initially holds 10 gal of fresh water. At t = 0, a brine solution containing ¼pounds of salt…

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Q: The rate of change of the weight of a cow is proportional to 1200 W, where time, t, is measured in…

A: We want to find differential equation of W(t).

Q: The tank in the figure contains 4000 L of water in which initially 50 kg of salt is dissolved. Brine…

A: Given that, The tank contains 4000 L of water in which initially 50 kg of salt is dissolved. Brine…

Q: Newton's Law of Cooling tells us that the rate of change of the temperature of an object is…

A: Introduction: Newton's Law of Cooling is a mathematical expression that describes the cooling of an…

Q: A solution containing 2lb of salt per gal starts to flow into a tank of 50 gal of pure water at a…

A: Given that, A solution containing 2lb of salt per gal starts to flow into a tank of 50 gal of pure…

Q: An object, whose temperature is 100 degrees Fahrenheit is thrown into a swimming pool where the…

A: Consider T be the temperature (in Fahrenheit) at time t (in seconds). Given that: Initially (at t =…

Q: According to Newton’s Law of Cooling, the rate of change of the temperature of an objectcan be…

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Q: For this problem A is the amount of salt in the tank. If a tank contains 150 liters of liquid with…

A: Given  A tank contains 150 liters of liquid with 18 grams of salt. A mixture containing 6 grams per…

Q: Water flows in a little tank, which has a leak. A the moment t=0 the tank is empty. The volume of…

A: Note: There is a typo in the answer of (i). The correct answer should have been V=1/k (80-Ae-kt)…