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Q: APPLICATION OF 1st ORDER DIFFERENTIAL EQUATIONS 1. Brine containing 3 lb/gal of salt enters a large…

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A: We can use differential equation or Newton law of cooling to solve the problem

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A: We will use the knowledge of the basic ODE theory.

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A: We will use Newton's law of cooling concept to solve the given problem.

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A: A 40◦F roast is cooked in a 350◦F oven. After 2 hours, the temperature of the roast is 125◦F. The…

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A: This question is related to diffential equation.

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A: Newton's law of cooling

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A: . A thermometer is taken from an inside room to the outside ,where the air temperature is 5° F.…

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A: Given that the rate of increase of population of country is proportional to thenumber of people…

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Q: DIFFERENTIAL EQUATIONS  Solve (D3 - D2 + 4D - 4) y = 8 - ex + 4cos(2x)

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Q: Give two examples of your own for order and degree of a differential equation

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Q: Instruction: APPLY FIRST ORDER DIFFERENTIAL EQUATIONS on the radioactive decay/biological growth…

A: Given that

Q: Give two examples of your own for order and degree of a differential equation

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Q: Solve using differential equation methods. The temperature outside is currently 68 degrees. A…

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Q: Subject:Differential Equation An investigator got to the crime scene inside the building at 9:30am.…

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Q: . A culture of bacteria consists of 1000 bacteria. After 2 hrs., the culture becomes 300 bacteria.…

A: (a) To find: The number of bacteria after 4 hours. Given: The number of bacteria at the start is…

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A: a)On considering let b be the number of bacteria  Now, dbdtαb Removing proportionality dbdt=kb On…

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Q: Brine containing 1.5lb/gal of salt enters a tank at the rate of 2gal/min and the mixture well…

A: NOTE: Refresh your page if you can't see any equations. . y=amount of salt at time t

Q: DIFFERENTIAL EQUATIONS Solve the following application problems. *show the every details of your…

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Q: Applications of Differential Equations 3. A small metal bar, whose initial temperature was 20° C,…

A: Above question is solved.

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A: NOTE: Refresh your page if you can't see any equations. . y=amount of salt at time t…

Q: If 10% of a radioactive substance disintegrates in 4 days, what is its half-life

A: Follow the procedure given below.

Q: differential equations A tank initially contains 200 liters 9f pure water. Stating at time t=0 ),…

A: Given, A tank initially contains 200 liters of pure water. Stating at time t=0 ), the maximum in…

Q: Elementary Applications of Differential Equations An object is placed into an insulating pad to cool…

A: The Newton's Formula for cooling is  T=Tm+T0-Tme-kt   T=Final tempreature,  Tm=the surronding temp.…

Q: DIFFERENTIAL EQUATIONS Solve the following application problems. *show the every details of your…

A:

Q: A hamster receives a dose of 3 mg. of a compound and then 2/3 as much as the previous dose at the…

A: Solution:-

Q: Applications of Differential Equations A certain radioactive material is known to decay at a rate…

A: Let's find.

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A: Given:- Coronavirus spreads exponentially  So differential equation is dydt=ky where y is number of…

Q: Differential Equations Problem: In 2015, the foreign debt of the Philippines is Php 2950.00 billion.…

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Q: Differential Equtaion: A thermometer reading 70 degree Fahrenheit is placed in an oven preheated to…

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Q: Give an explanation to the solution   The population of a certain country is known to increase at…

A: we know that population growth formula A(t)=P0(ekt) where A(t) is population at time t P0 is…

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Q: Elementary Applications of Differential Equations A thermometer reading 18℉ is bought into a room…

A: Thermometer Reads 18°F and Room Temperature is 70°F and T(1)=31°F that is temperature after 1 minute

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A: Given, You invest $1000 in an investment fund that pays 5% annual interest compounded Continuously.…

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Q: A system of differential equations has a general solution [3] = a[²] ₁*- Enter an expression in the…

A: A system of differential equation has a general solution is xy=α2-1e-5t+β12e5t. The objective is to…

Q: A thermometer is taken from an inside room to the outside ,where the air temperature is 5° F. After…

A: Let the temperature of the thermometer at any time t is given by:  y(t) The temperature of the…

Q: Differential equations: A 100 L mixing tank initially contains 50 L of brine solution with 16 g/L…

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Q: Advanced Math Solve the first order linear differential equation 2' + (2/x)z = 1/2x^-1/2

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Q: An object moves with a constant acceleration of a=2 m/s2 without other forces intervening. One…

A: Given that an object moves with a constant acceleration of a=2 m/s2 without other forces…