1,279 Answered Questions for the topic differential equations

Differential Equations Algebra 2 Calculus Chemistry

03/28/22

At a festival, spherical balloons with a radius of 160. cm are to be inflated with hot air and released. The air at the festival will have a temperature of 25°C 

It must be heated to 100°C to make the balloons float. 1.00kg of propane C3H8 fuel is available to be burned to heat the air. Calculate the maximum number of balloons that can be inflated with hot... more
Differential Equations Algebra 2 Calculus Chemistry

03/28/22

On a 5 day wilderness expedition you'll need to heat 4.0 kg of water to the boiling point each day. The air temperature will average 25°C.

You have available canisters of compressed butane C4H10 fuel, which you'll burn to heat the water. Each canister has 100.g of butane in it. What is the minimum number of fuel canisters you must... more
Differential Equations

03/26/22

Can someone please help with the question below in the description??

A tank with capacity 20gal contains 10gal of water with 3lb of salt concentration. Water containing 1lb salt per gallon enters the tank at a rate of 4 gal/min. The mixture flows out of the tank at... more
Differential Equations

03/25/22

Differential Equation

Find out the particular solution of the differential equation ln dy/dx =e(4y + ln x), given that for x = 0, y = 0.
Differential Equations

03/25/22

Verify that the function y=e^(−3x) + 2x + 3 is a solution to the differential equation y' + 3y = 6x + 11

Verify that the function y=e^(−3x) + 2x + 3 is a solution to thedifferential equation y' + 3y = 6x + 11
Differential Equations Math Calculus

03/23/22

Find k if the tangent to y=2x^3+kx^2-3 at the point where x=1 has a slope of 2.

Differential Equations

03/19/22

A tank contains 80 kg of salt and 2000 L of water. Pure water enters a tank at the rate 6 L/min. The solution is mixed and drains from the tank at the rate 3 L/min.

Find the amount of salt in the tank after 1 hours.
Differential Equations

03/19/22

Solve the initial value problem y′=x^2−y^2/xy with y(2)=2.

Differential Equations

03/19/22

Solve the following differential equation (7xy2−3)dx+(7x2y+4)dy=0

Differential Equations Calculus

03/16/22

What is the solution to dy/dx = (x^2)/y, with the initial condition y(3) = -2

can someone pls show the steps they used to solve this! I keep getting y = sqrt of ((2x^3)/3 -14), but the right answer is supposed to be y = - sqrt of ((2x^3)/3 -14), and I'm not sure where the... more
Differential Equations

03/10/22

DIFFERENTIAL EQUATION QUESTION FROM CLASS 12TH MATHS

Solve the differential equation :-dy/dx = e^tany
Differential Equations

03/09/22

graph liner in fraction

how do we graph a liner in fraction like y=4/3 x
Differential Equations Calculus Pharmacology

03/08/22

How do i derive an equation from a pharmacokinetic differential equation to model first-order absorption/elimination

I watched this video, https://youtu.be/9W_kwn7ZHtI where they gave a differential equation to model a first-order absorption/elimination drugI understood each of the equations separately, but I’m... more
Differential Equations Calculus

03/06/22

consider the differential equation dy/dx=3x^2/e^2y

(a) find a solution y=f(x) to the differential equation satisfying f(0)=1/2(b) find the domain and range of the function f found in part (a)
Differential Equations Calculus

03/06/22

the function f is differential for all real numbers. the point (3, 1/4) is on the rap of y=f(x), and the slope at each point (x,y) on the graph is given by dy/dx=y^2(6-2x)

find y=f(x) by solving the differential equation dy/dx=y^2(6-2x) with the initial condition f(3)=1/4.
Differential Equations Calculus

03/06/22

write any information given about the amount of water in the tank at a specific time.

water is pumped into an underground tank at a constant rate of 8 gallons per minute. water leaks out of the tank at the rate of √t+1 gallons per minute, for 0≤t≤120 minutes. At time t=0, the tank... more
Differential Equations Calculus

03/06/22

write an expression for the rate at which the water is changing in the tank

water is pumped into an underground tank at a constant rate of 8 gallons per minute. water leaks out of the tank at the rate of √t+1 gallons per minute, for 0≤t≤120 minutes. At time t=0, the tank... more
Differential Equations Calculus

03/06/22

write an expression for the rate of the water leaking out of the tank

water is pumped into an underground tank at a constant rate of 8 gallons per minute. water leaks out of the tank at the rate of √t+1 gallons per minute, for 0≤t≤120 minutes. At time t=0, the tank... more
Differential Equations Calculus

03/06/22

Write an expression for the rate of water being pumped into the tank.

water is pumped into an underground tank at a constant rate of 8 gallons per minute. water leaks out of the tank at the rate of √t+1 gallons per minute, for 0≤t≤120 minutes. At time t=0, the tank... more
Differential Equations Calculus

03/06/22

how many will there be 5 hours from the initial time?

A certain type of bacteria increases continuously at a rate proportional to the number present. If there are 500 present at a given time and 800 present 2 hours later, how many will there be 5... more
Differential Equations Calculus

03/06/22

suppose df/dx=4x^1/2. If f(4)=21, then f(x)=?

Differential Equations Calculus

03/06/22

If the graph of y=f(x) contains the point (0,-5) and if dy/dx=x-3/y, then what is f(x)?

Differential Equations

03/04/22

AB calculus question on Cengage

Some of the curves corresponding to different values of C in the general solution of the differential equation are shown in the graph. Find the particular solution that passes through the point... more

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