Application of Differential Equation: A certain bacteria culture is observed to double its amount after 150 minutes it was initially observed. Predict how many more minutes the bacteria culture will double more its amount, if the rate of growth of the culture is proportional to the square of the current amount of the population.

Q: You have just introduced a new 3D monitor to the market. You predict that you will eventually sell…

A:

Q: Wildlife biologists are studying the fish population of a lake which is stocked with a specific…

A: From the given figure, We observe that there are 2 equilibrium lines(0 slope lines),  P=3 and P=7

Q: Write the differential equation (unlimited, limited, or logistic) that applies to the situation…

A: Given:         Initial worth of the stamp (y0)=  $1600         Growth rate (k) = 9% = 9100=0.09   To…

Q: For population growth, radioactive decay, compound interest, and similar phenomena that are…

A: given: For population growth, radioactive decay, compound interest and similar phenomena  that are…

Q: A virus spreading across the country is making people sick. Let x be the number of infected people.…

A: If x be the number of infected people. Then it is given that DE is proportional to the infected…

Q: Solve the differential equation: Finalize answer free of logarithms and radicals, Express final…

A:

Q: A tank initially contains 100 L of a well-mixed water-and-salt solution, with salt concentration of…

A:

Q: 1. Write the differential equation that describes the relationship: “The rate of decay of a certain…

A: If a quantity is A proportional to the quantity B, then we have: A ∝ B      ⇒       A = kB where k…

Q: Solve the differentialequation using appropriate method. Finalize answer free of fractions and…

A:

Q: e3x-e-x  Find a differential equation whose function accepts the solution

A: We have to find a differential equation whose function accepts the solution y(x)=e3x-e-x.

Q: Write a differential equation and find the general solution for each scenario. Also, describe the…

A: 1. Let population P is the function depends on time t. Given: Rate of growth=8%

Q: Write the differential equation, and solve it. A 120-gallon (gal) tank initially contains 90 lb of…

A: Let x denote the amount of salt in the tank at the time t. Here the rate of brine flowing in and…

Q: Hydrocodone bitartrate is used as a cough suppressant. After the drug is fully absorbed, the…

A:

Q: The order of a differential equation is the degree of the highest order derivative in the equation.…

A: Suppose a differential equation is d3ydx35+d2ydx2+dxdy6+y=0

Q: An object falls from rest in a medium offering a resistance. The velocity of the object before the…

A:

Q: Activity 6: Challenge yourself Application of Differential Equation: In a farm, there were initially…

A:

Q: Determine the differential equation of all straight lines with slope and x-intercept equal. Show…

A: Determine the differential equation of all straight lines with slope and x-intercept equal.

Q: ;A species of rabbits has a growth rate of 0.5/ month. If a population of foxes inhabits the same…

A: Consider the provided question, We have to find the general solution describing the population of…

Q: A polluted pool has an initial concentration of bacteria of 10* part/m³, while the a) acceptable…

A: Given first order differential equation is dCdt +0.05C=0  with C0=104 Here, t is time (in weeks) and…

Q: Newton's Law of Cooling states that the rate at which an object cools is proportional to the…

A: Given:  An object is taken from an oven at 309°F and left to cool in a room at 75°F, its temperature…

Q: The differential equation of the family of straight lines whose sum of slope and x-intercept is…

A:

Q: 2. Many countries have a population growth rate of 3% (or more) per year. At this rate, how many…

A: * SOLUTION :-  (2)

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

A:

Q: person planning for her retirement arranges to make continuous deposits into a savings account at…

A: Follow the steps.

Q: Morphine is administreted to a patient intravenously at a rate of 2.5 mg per hour. About 34,7% of…

A:

Q: A jungle has 400 monkeys, and it is estimated that the maximum population of the monkeys in the…

A:

Q: - y = re"

A: Given that: y' - y = xex . Solve the equation and show the graph. Here i attached solution of this…

Q: xy' = y elw) – x

A:

Q: 1946 1950 2015 2724 3655 1955 1960 4130 Formulate a differential equation model to describe the…

A: dy/dx =(6083-4853)/(1970-1965)            =246 solve differential equation by separable variable…

Q: One person in small town with a population of 500 people has been infected with greyscale, a deadly…

A: topic - differential equation

Q: Write a differential equation that fits the physical description. The rate of change in the…

A: Please find attachment for the details solution

Q: 15. MULTIPLE CHOICE: The total number of reported cases of an illness in a large city t days after…

A: The solution of equation is, dydt=15600y1400-y

Q: write a differential equation that fits the physical description. Q. The rate of change of the mass…

A:

Q: Initially 100 milligrams of a radioactive substance were present. After 5 hours the mass had…

A: Given: Initial amount of radioactive substance=100 milligrams. After 5 hrs the mass has decreased by…

Q: Assume that you can contribute $7,000 per year into a retirement fund that grows at a constant rate…

A: Let ,Time = t P = $7,000 Rate = 7% = 0.07 P'(t) = dP/dt (a) Write a first-order linear differential…

Q: Apply Differential Equation A lake has a volume of 458 cubic km, and its rate of inflow and outflow…

A:

Q: Newton's Law of cooling is described by the differential equation dT := k(T – T,) Suppose an object…

A: Law of cooling

Q: Solve using differential equation  A certain chemical dissolves in water at a rate proportional to…

A: Please check step 2 for the solution.

Q: 3. A tank is filled with 8 gal of brine in which 2 lb of salt is dissolved. Brine having 3 lb of…

A: Given,  A tank is filled with 8 gal of brine in which 2 lb of salt is dissolved. Brine having 3 lb…

Q: Unrestricted. Yeast Growth The number of bac1eria in a yeast culture grows at a rate proportional to…

A: Population: Yeast Growth The number of bac1eria in a yeast culture grows at a rate proportional to…

Q: A dirty lake was contaminated by a toxic substance. The lake has a volume of 100,000 liters of water…

A: To solve this problem, first, we have to from a differential equation connecting the amount of the…

Q: Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well.…

A:

Q: (3y²-x² ()y' -=0 ;when x = 1, y = 1 2y4

A:

Q: In a chemical reaction, the rate at which a reactant diminishes (i.e., combines with another…

A: Given: In a chemical reaction, the rate at which a reactant diminishes(i.e., combines with another…

Q: A dirty lake was contaminated by a toxic substance. The lake has a volume of 100,000 liters of water…

A: This question is related to the differential equations, We will solve it using given information.

Q: dv т—- тд — kv. m dt

A:

Q: Write a differential equation that fits the physical description. The acceleration due to air…

A:

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

A: image is attached

Q: In the theory of learning, the rate at which a subject is memorized is assumed to be proportional to…

A: Differential equation is equation which relate a quantity with other quantity and their rates. Total…

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.