1,272 Answered Questions for the topic differential equations

Differential Equations

10/29/23

Differential equation problem

You need to determine the best option to push a small cart from 0 to 5 m/s. Two options are offered. The first one implies a mass of 100 kg, a push force of 200 N and a friction coefficient 5 times... more
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Differential Equations

10/16/23

find the equation of the line in slope intercept form perpendicular to 5x-4y=3 and goes through the point (15,1)
find the equation of the line in slope intercept form perpendicular to 5x-4y=3 and goes through the point (15,1)
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Differential Equations

10/16/23

differential equation question
For a phrase line to be a meaningful tool, explain why it is essential for the differential equation to be autonomous
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Differential Equations

10/13/23

The forced spring-mass system 4x'' + 16.8x = cos(2t) exhibits amplitude modulation, or beats. What is the beat frequency?
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Differential Equations

10/10/23

Differential Equations Second Order Help

An undampened spring-mass system with external driving force is modeled with x"+25x = 4 cos 5t. The parameters of this equation are "tuned" so that the frequency of the driving force equals the... more
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Differential Equations

10/10/23

Second Order Harmonic Motion Help

A 1kg mass is attached to a spring (k=4kg.s^2) and the system is allowed to come to rest. The spring mass system is attached to come to res.t The spring mass system is attached to a machine that... more
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Differential Equations Math Calculus

10/07/23

Find the laplace transform of a constant
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Differential Equations Math Calculus

10/07/23

Find the Laplace transform of 1
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Differential Equations Calculus

10/06/23

How to differentiate between, Partial and ordinary differential equations, Linear and non linear differential equations, Order and degree of a differential equation.
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Differential Equations

10/06/23

What is a differential equation
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Differential Equations

10/04/23

Undamped Motion
A weight stretches a spring 6 inches in equilibrium. The weight is initially displaced 4 inches above equilibrium and given a downward velocity of 3 ft/s. Find its displacement (in ft) for t>0... more
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Differential Equations

10/02/23

Ordinary Differential Equation
The coefficient matrix A = [−1 +2; −2 +3] of the linear system(1) x'(t) = −x(t) +2y(t)(2) y'(t) = −2x(t) +3y(t)has one real eigenvalue λ = 1 of multiplicity two, but the eigenspace Eλ = R⋅(1,1)T... more
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Differential Equations

09/30/23

differential equations

When interest is compounded continuously, the amount of money increases at a rate proportional to the amount S present at time t, that is, dS/dt = rS, where r is the annual rate of interest.(a)Find... more
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Differential Equations

09/30/23

differential equations
The population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t. After 3 hours it is observed that 600 bacteria are present. After 10... more
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Differential Equations

09/30/23

differential equations
A 20-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1 henry and the resistance is 30 ohms.L di/dt + Ri= E(t) Determine the values of L, R, and E(t) for the... more
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Differential Equations

09/30/23

differential equations
A tank contains 360 liters of fluid in which 50 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 6 L/min; the well-mixed solution is... more
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Differential Equations

09/30/23

differential equation
A thermometer is removed from a room where the temperature is 70° F and is taken outside, where the air temperature is 20° F. After one-half minute the thermometer reads 50° F. What is the reading... more
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Differential Equations

09/30/23

differential equations
When a vertical beam of light passes through a transparent medium, the rate at which its intensity I decreases is proportional to I(t), where t represents the thickness of the medium (in feet). In... more
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Differential Equations

09/30/23

differential equations
The population of a community is known to increase at a rate proportional to the number of people present at time t. If an initial population P0 has doubled in 6 years, how long will it take to... more
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Differential Equations Calculus

09/29/23

Differential Calculus
Differentiate f(x)=-x3 - 2x2+1a. f'(x)=-3x2 - 2xb. f ' (x)= -3x2 - 4xc. f ' (x)= -2x2 - 4d. f'(x)=-3x2 + 2xe. f'(x)=3x2 - 2xIs there a way to do this on the ti-84 calculator? is so provide that... more
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Differential Equations

09/27/23

Quantitative Reasoning

A company has a policy of retiring company cars. This policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service... more
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Differential Equations

09/25/23

Solve the given Initial value problem.
(e8y-y)cos6t(dy/dt)=ey sin6t, y(0)=0Let y(t) be the solution of the initial value problem. If y(t0)=1, find the value of ln |cos6t0|With the answer rounded to exactly 4 digits after the decimal point. more
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Differential Equations

09/25/23

Solve the given initial value problem.
5y^2(dy/dt)+15t=2, y(0)=1Let y(t) be the solution of the initial value problem. Find the value of y^3(1) with the answer rounded to 4 digits after the decimal point.
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Differential Equations

09/24/23

Solve the given initial value problem.
5y^2(dy/dt)+15t=2, y(0)=1Let y(t) be the solution of the initial value problem. Find the value of y^3(1) with the answer rounded to 4 digits after the decimal point.
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Differential Equations

09/24/23

Solve the given initial value problem.
5t(dy/dx)=(y^2)-y, y(1)=-7Let y(t) be the solution of the initial value problem. Find the value of y(7^5) with the answer rounded to 4 digits after the decimal point.
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