This is a differential equation problem. A thermometer is removed from a 70-degree F room and is taken outside where the temperature is 40 degrees F.  After 1/2 minute, the thermometer reads 60 degrees F.  What does the temperature read at t = 1 minute, and how long will it take for the thermometer to reach 45 degrees F?

Q: y'- 8y'+ 2y =(x'+ 82) eex %3D

A:

Q: A racer accelerates from a stop so that its speed is 10t m/s t second after starting how far will…

A:

Q: Find what m equals given tyll-3kyloMyo the differential equation

A:

Q: When a capacitor of capacity C is being charged through a resistance R by a battery which supplies a…

A: Given: RdQdt + QC=E The given equation can be written as dQdt +QC=ER

Q: Solve the differential equation: y = 3x +log P.

A: Given equation is y=3x+log P Let us consider P as a constant and then dydx=ddx(3x + log…

Q: For Problems 4-5, match the given differential equation with the correct slope field, and explain…

A: As per the bartleby guidelines, for more than one question, only 1st one is to be answered. Please…

Q: After t hours there are P(t) cells present in a culture, where P(t) = 2000e 02t. (a) (b) (c) (d) How…

A:

Q: Suppose that f(t) is a solution of the differential equationy′ = ty - 5 and the graph of f(t) passes…

A: Given, y'=ty-5 And f(t) is a solution of the differential equation. The graph of f(t) passes through…

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

A: Given,  In a certain company, the relationship between the price per unit P and the weekly sale y,…

Q: 4. (y' — 5у) %3 х?е* — х е5x

A: According to question, Given differential equation, y'-5y = x2ex-xe5x.

Q: dx x3 3x². -8(y + 1) = 0 dy y+1

A:

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

A:

Q: If p = Ae³9 + Beª, what would be the differential equation?

A:

Q: x*y' Vy +3xy =10x²

A:

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

A:

Q: 3 x°+3yーxy'=0

A:

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

A: This question is about application of differential equation

Q: Suppose y=P(t) is the number of a certain type of bacteria on a surface, and P(t) satisfies the…

A:

Q: The number of customers in a store is modeled by the function P that satisfies the logistical…

A:

Q: c) y' = -y2e* d) y' = y2 - 4

A: Use the variable separable method to solve.

Q: We know that M(0)=10. What is M'(0)? (Use the differential equation with r=1 and k=100) Round your…

A: A slope field is a graphical representation of a first-order differential equation. A first-order…

Q: y'+4y +13y 0

A:

Q: Which of the following is the general solution to the differential equation?

A: In this question, we find the general solution of differential equations by using given…

Q: Which of the following is a Linear differential equation ?.

A:

Q: As a salt dissolves in methanol, the number x(t) of grams of the salt in a solution after t seconds…

A:

Q: d) Solve the differential equation of y"" + 4y' = sec 2x

A:

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

A:

Q: general

A: We have to choose the correct answer from the given options according to the given information

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

A:

Q: Solve the differential equation when = 5(10 – P) if P = 2 when t = 0.

A: Solving the problem by solving the diff equation.

Q: Suppose that the number x(t) (with t in months) of alliga- tors in a swamp satisfies the…

A:

Q: Is the given Differential Equation a homogenous? If yes, what is the degree?

A: We know that a differential equation containing a homogenous function is called a homogenous…

Q: Solve The Differential Equation Step by Step 4t²x" + (t²+1)x=0

A: Given differential equation is 4t2x''+(t2+1)x=0         (1) Let the solution be x=∑antn+m Then…

Q: Solve the following problems using differential equation. a. A thermometer reading 75 °F is taken…

A: Here we will use newtons law of cooling to form differential equation and then solve it . Note :…

Q: The intensity L(x) of light x feet beneath the surface of the ocean satisfies the differential…

A:

Q: . (D² + *. + D)y = 6 + 3 e²

A:

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

A:

Q: Solve the following differential equation by using variation of parameters: X^2y" - 2ху'+2у-х^4е^х

A: Given - x2y'' - 2xy' + 2y = x4ex To find - Solve the following differential equation by using…

Q: One of the following is a solution of the differential equation y"-y=0

A:

Q: solve the following differential equation y' + (8/x) y = x6 y4

A:

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

A: We need to solve Differential equation question.

Q: For the next four questions, consider the differential equation y" – y = x²e* +5

A: Let's find.

Q: 41. The trough in Figure 3 (dimensions in centimeters) is filled with water. At time t = 0 (in…

A:

Q: x" + x' + 3x = 2t – 1

A:

Q: The deceleration of a certain tugboat in the water is directly proportional to the cube of the speed…

A:

Q: 9. y+2y 0 10. y) – 8y' +16y = 0

A:

Q: Which of the following is the differential equation that accepts the solution as the family of…

A:

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.