A body at a temperature of 50° F is placed outdoors where the temperature is 100° F. If after 5 minutes the temperature of the body is 60° F, Formulate a differential equation using given information and solve it. Do

Q: If the rate of change in the microwave rays M(x), where x is the distance, decreases with a rate…

A:

Q: 62 4 te

A: Explanation of the answer is as follows

Q: 35. (2v3 3)dx + 3xv²dv = 0 – x

A: Given that: (2y3-x3)dx+3xy2dy=0     NOTE: As per our answering guidelines, we can only answer 1…

Q: From your sketch, what is the equation of the solution to the differential equation that passes…

A: The complete solutions are given below

Q: 3. (2xy-x+2y- 1) dx +(4x²y² - x² + 4xy²-x) dy = 0

A: See answer below.

Q: ~2 _ dar,ך3-א 3זר) ד2?ו? .מ

A:

Q: Suppose that in a certain company, the relationship between the price per unit p of its product and…

A:

Q: In the given question ,, determine whether the statement is true or false. If it is false, explain…

A: Given :                The function y = 0 is always a solution of a differential equation that can…

Q: Solve the given differential equation by undetermined coefficients. у" - Зу" + Зу' - у %3D х - 8е*…

A:

Q: (y – c,)² + (x – c2)² = 1 %3D -

A:

Q: Find a differential equation whose general solution is y = cet + c₂e-4² = 0

A:

Q: Can you please solve for the PS/GS of this differential equation and pls indicate what kind of…

A:

Q: 13.ydx + (3x —ху+ 2)dy — 0

A:

Q: If the number of fruit flies F increases at a rate that is proportional to the number of flies…

A:

Q: Solve the given differential equation by undetermined coeff

A: Given,         y''+2y'+y=sin(x)+4cos(2x)            ...(1)

Q: The change of Turkey's population (N) over time (t) is proportional to the current population. In…

A: Note: It is assumed that the population of 2021 is being asked this question.   The general solution…

Q: 1. 7ху' — 2у + (E) - = 0

A: Given differential equation  7xy'-2y+xy6=0

Q: An angle Θ is known to vary periodically with time, in such a way that its rate of change is…

A:

Q: Solve the differential equation for y if (1+9x²) dx %3D

A: Here we have to solve the differential equations,  1+9x2dydx=1.................................(1)

Q: Solve the given differential equation by undetermined coefficients. y"+2y=-18x²2x

A:

Q: To model mortality in a population of 200 laboratory rats, a scientist assumes that the number P(t)…

A:

Q: Formulate a differential equation that is satisfied by 1. y=Ae2+ Bxe²r

A: To find: The differential equation: Given: The equation is y=Ae2x+Bxe2x. Concept used: Product rule:…

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: у" — Зу" + Зу' — у %3D х — 4е* -

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3 y 1-x y'- 1- X y= e-e

A: Here the given differential equation is y''+1-xxy'-1x2y=ex-e-x This is a linear second order…

Q: A dead body was discovered shortly before midnight. At exactly midnight, the temperature of the body…

A: Let T be the temperature of the object after t hours and Let Ts be the temperature of the…

Q: A zircon sample contains 4000 atoms of the radioactive element 235U. Given that 235U has a half‐life…

A: Given- A zircon sample contains 4000 atoms of the radioactive element 235U and 235U has a half‐life…

Q: 12 2. X' = 4 %3D

A:

Q: 25.y' — х — 4ху ; х—D0, у3D 1/2

A:

Q: The rate at which radioactive nuclei decays is proportional to the number of such nuclei that are…

A: Given Half of the original number of radioactivenuclei have undergone disintegration in a period of…

Q: Suppose that in a certain company, the relationship between the price per unit p of its product and…

A:

Q: When sugar is dissolved in water, the amount A that re- mains undissolved after t minutes satisfies…

A:

Q: у" + 16у — 0; Уi — сos 4x

A:

Q: (y')³.x – (y')².y – 1 = 0

A: Assume y'=p, write the given equation in terms of y then differentiate the equation with respect to…

Q: Please Find the general solution to the differential equation x'''+x''+x'+x=0

A:

Q: 6.) y' + (4/x) y- (x')ly) =0

A:

Q: 7. ON te 2.

A: We have to solve

Q: If the rate of change in the number of cows, W, in a population is proportional to 150 - W(t), where…

A:

Q: dy - (x-y+ 1)'dx = 0

A:

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

A: Given, the population of a community is known to increase at a rate proportional to the number at…

Q: Determine whether each of the following statements is true or false, and explain why.To determine a…

A: Given- To determine a particular solution to a differential equation, you first must find a general…

Q: A man is walking at a rate of 1.5 m/s toward a street light which is 5 m above the level ground. At…

A:

Q: Which kind of the differential equation is it

A: dydx=y' = x2y+y3x3+y3 is the given differential equation.    Degree of Numerator =3  Degree of…

Q: dx = 3x (0)=2

A:

Q: In a nursery, the reason for spreading a virus epidemic is equal to half of those who have not…

A: Number of children infected N w.r.t to time t in days dNdt=N Use variable saprable method to solve…

Q: A culture initially has P0 number of bacteria. At 1 h the number of bacteria is measured to be…

A: Let P(t) be the number of bacteria present at time t.Given that the growth rate is proportional to…

Q: A 50 gallon tank is full to the brim with pure water, and 5 gallons/minute of a brine solution with…

A: Let s(t) be the amount of salt (in kg) in the tank at time t. Now, given that salt is entering in…

Q: A bowl is removed from a pottery kiln at a temperature of 200 degrees Celsius and placed on a rack…

A:

Q: If we have a solution to a differential equation, what can be done with it?  What good is having a…

A: If we have a solution of differential equation which represents  the velocity of a particle then…

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.