X () = (:)- Find the solution that satisfies the initial condition %3D

Q: II. Consider an object in a surrounding with constant temperature of 25°C. If the temperature of the…

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Q: 6. The population of a community is known to increase at a rate proportional to the number of people…

A: We have to find the time it takes for the population to quadraple.

Q: .3 X ナメ-2 find x using fixed point method where X= 015 (initial Value)

A: The given function fx=x3+4x-2 Find the value of fx at x=0.5. f0.5=0.53+40.5-2=0.125>0 Find the…

Q: x-1, X)1 find the generol solution of the differential eguation below

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Q: The differential equation modeling population growth while incorporating the carrying capacity is =…

A: Given: Growth rate is 0.1 per year. Environmental limitation is of 4600 deer. Currently there are…

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Q: The city of Anville is currently home to 21000 people, and the population has been growing at a…

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Q: Ununoctium decays naturally at the rate proportional to the original quantity. If there are 20 grams…

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Q: 1. Differentiate the implicit equation with respect to x. x³ + y³ ln(x) + e²y = 4

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Q: f the population of a certain county was 100,000 in 1998 and 110,517 in 2008 and the for- mula y 5…

A: Given, the population of a certain county was 100,000 in 1998 and 110,517 in 2008             and…

Q: A population of mosquitoes increases at a daily rate of 1/2 times the current population. You can…

A: Given that A population of mosquitoes increases at a daily rate of 1/2 times the current population.…

Q: By natural increase, a city whose population is 40,000 will double in 50 yrs. There is a net…

A: This question is related to population growth, We will solve it using given information.

Q: Solve differential equetion. = 8X+_5X dx 4-202

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Q: A mathematical model for world population growth over short intervals is given by P P, e", where P,…

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Q: A tank initially contains of 50 litres of brine solution with 20kg of dissolved salt. A brine…

A: Given the rate of flow in is 4 L/min and flow out is 2 L/min. So per minute the solution is…

Q: When air expands adiabatically (without gaining or losing heat), its pressure P C where C is a…

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Q: Suppose that I years from now, one investment plan will be generating profit at the rate of P1'(t)=…

A: Given. P1'(t) = 90e0.1t (1000$) P2'(t) = 140e0.07t (1000$)

Q: The maximum number of rabbits, R, that an area can support is 100, there are currently 20 rabbits,…

A: A detailed solution is given below.

Q: A radioactive element decays at a rate of 5% annually. There are 40 grams of the substance present.…

A: Please see the below picture for detailed solution.

Q: Find the differential equation of the family of parabola with vertex and focus on the x-axis

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Q: A colony of rats is transplanted into an island environment by stowing away on a cargoship. The…

A: Given that  A colony of rats is transplanted into an island environment by stowing away on a…

Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

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Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A: Given:

Q: A population of 1000 students are in a dormitory. If initially, a virus infected 25 of them. If the…

A: Let number of students infected at time t be x  Then, number of healthy students at time t = (1000 -…

Q: A spring has a mass of 10 kg, is underdamped with coefficient β = 5 and its frequency is 0.8 Hz.…

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Q: 3x =2 when x= What is the particular solution to the given differential equa

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Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

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Q: At time t years, an industry consumes fuel at the rate of (3t + 27)/³ million barrels per year. (i)…

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Q: A manufacturer estimates that she can sell a maximum of 165 thousand cell phones in a city. By…

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Q: Radium decomposes at a rate proportional to the amount present. If the half-life is 1600 years, find…

A: NOTE: Refresh your page if you can't see any equations. . the initial amount is a=100% half-life is…

Q: If the investment equation is I(t) = 6t1/2   then what is the total capital after 4 years. What is…

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Q: A bacteria culture starts with 960 bacteria and grows at a rate proportional to its size. After 4…

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Q: An engine health monitoring system consists of a primary unit and a standby unit. The MTTF of the…

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Q: solve

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Q: Suppose a student carrying a flu virus returns to an isolated college campus of 1000 students. It is…

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Q: 4.3√√√7

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Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A: Given that  C = 0.001x3 + 3x + 432  To Find the number of units x that produces the minimum average…

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A: Solve the given problem

Q: A radioactive element decays at a rate of 5% annually. There are 40 grams of the substance present.…

A:

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A: NOTE: Refresh your page if you can't see any equations. . the cost function is the average cost…

Q: Solve (p2+q2)y=qz by using partial differential equation.

A: Given that, f=p2+q2y-qz=0 ⋯⋯⋯1 The auxiliary equation is, dxfp=dyfq=dzpfp+qfq=-dpfx+pfz=-dqfy+qfz…

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

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Q: Solve the differential eguation 3-

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Q: The decay equation for radon-222 gas is known to be y = y0 e-0.18t, with t in days. About how long…

A: The decay equation for radon-222 gas is known to be y = y0 e-0.18t, with t in days. About how long…

Q: 9. From 1975 to 2009, the age-adjusted incidence rate of invasive lung and bronchial cancer among…

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Q: Find the differential equation of Parabolas with vertex on the x-axis, with axis parallel to the…

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Q: A manufacturer estimates that she can sell a maximum of 90 thousand cell phones in a city. By…

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Q: The biomass of a yeast culture in an experiment is initially 29 grams. After 30 minutes the mass is…

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Q: The population of Normal, Illinois grows proportionally to its population at time t. At an initial…

A: Given, dPdt=kP Where P is the population and k is the proportionality constant.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.