1,272 Answered Questions for the topic differential equations

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
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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.
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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.
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Differential Equations

03/19/22

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

03/19/22

Solve the differential equation dx/dt = 6xlnx/t, Assume x,t>0, and use the initial condition x(1)=4.
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Differential Equations

03/19/22

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

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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
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Differential Equations Integral Calculus

03/16/22

points (1,4) and (2,12) lie on a curve whose gradient is giiven by dy/dx=6x2-6x+k a)find the value of k b)the equation of the curve
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Differential Equations

03/10/22

DIFFERENTIAL EQUATION QUESTION FROM CLASS 12TH MATHS
Solve the differential equation :-dy/dx = e^tany
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Differential Equations

03/09/22

graph liner in fraction

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

03/06/22

suppose df/dx=4x^1/2. If f(4)=21, then f(x)=?
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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)?
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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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Differential Equations Maths Mathematics Integral

03/01/22

Find the general solution of r' + 2rtheta - r - 4theta + 2 = 0.
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Differential Equations Maths Mathematics Integral

03/01/22

Find the general solution of xy' + ( 1 + x )y - e^(-x) cos2x = 0.
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Differential Equations Maths Mathematics Integral

03/01/22

Determine ( ylny - e^(-xy) )dx + ( 1/y + xlny )dy = 0 is exact or not. If exact it, solve it.
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Differential Equations Maths Mathematics Integral

03/01/22

Given, (2xy dx + dy) e^(x^2) = 0, with the initial condition y(0) = 2. If exact, solve it or if not, then by using the integrating factors solve it and find the particular solution.

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