1,272 Answered Questions for the topic differential equations

Differential Equations Math Calculus Physics

05/25/23

Solve the velocity field of a rigid sphere falling under gravity within a larger sphere

A rigid sphere of radius R1 is falling at a velocity Ui under the action of gravity gi within a larger stationary hollow sphere of radius Ro. The inner sphere is at an instant in time centered on... more
Differential Equations Math Calculus Physics

05/25/23

Calculating the velocity field around a rigid sphere under creeping flow conditions

A Rigid sphere is placed at the origin in the undisturbed linear flow ui∞=Eijxj +Ωijxj where Eij and Ωij are the constant rate of strain and vorticity tensors respectively. Assume the sphere is... more
Differential Equations Math Chemistry Physics

05/11/23

particle on a ring, quantum mechanics

A)Explain the reason why Ψ(x) = Acos(πx/L) is not able to describe a particle of mass m in a ring of length L. B) On the other hand, explain why Ψ(x) = Acos^2(πx/L) is.C) When momentum is... more
Differential Equations

05/06/23

Algebra Word Problem

Tammy's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Tammy $4.10 per pound, and type B coffee costs $5.65 per pound. This month's blend used twice as many... more
Differential Equations Math Algebra 1 Algebra 2

05/05/23

Intrest money, prealgebra

David deposited $10,000 in an account that pays 5 percent interest compounded annually. Using a calculator and the formula An = A0* (1 + r) n determine how much money had been earned after the... more
Differential Equations

05/04/23

Equations Solving for A and B

Ax + 4 = 6x + B (Solve for A and B)
Differential Equations Math Calculus Physics

04/28/23

Microhydrodynamics Flow analysis (Taylor series expansion solution to a flow field)

Consider the flow field given by ui=Fj[δij/x + xixj/x3], where |xi| = x. a) By taking the first two terms of a Taylor series about a point xi --> yi where (xi -yi)Fi=0 determine the form of the... more
Differential Equations Math

04/26/23

Maya, Henry, and Ryan have a total of $130 in their wallets. Ryan has $10 less than Maya. Henry has times what Ryan has. How much do they have in their wallets?

I need dummy dumb talk here because I can't seem to get my equation right... I know you make the equation - so this is what I have. m+r-10+4h=130I know I need to simplify so I want to get rid of... more
Differential Equations Math Science Sat Math

04/24/23

Finding numbers, word equation

Find three consecutive odd integers such that four times the sum of the first and second is 11 more than 3 times the third.
Differential Equations

04/23/23

Integration to find rate at which a tipper truck unloads soil is represented by the function

The rate at which a tipper truck unloads soil is represented by the function a) Calculate the volume of soil unloaded between t = 0 and t = 3 (minutes)
Differential Equations Math Science Homeschool

04/21/23

algebra one, word equation

The number of girls in Mr. Taylors algebra class exceeded the number of boys by 5. If there were 39 pupils in the class, how many were girls.
Differential Equations

04/18/23

Differential Equation

An initial amount α of a tracer (such as a dye or a radioactive isotope) is injectedinto Compartment 1 of the two-compartment system shown in the Figure. At timet > 0, let x1(t) and x2(t) denote... more
Differential Equations Math Business Finance

04/16/23

Your company, RIW Inc, is considering a new project whose data are shown below. What is the project’s year 1 cash flow?

Under the new tax law, the equipment used in the project is eligible for 100% bonus depreciation, so it’ll be fully depreciated at t=0. What is the project’s year 1 cash flow?Sales Revenues -... more
Differential Equations

04/09/23

The Solution of the Quadratic Equation By Differentiation Method

Find the roots of the quadratic equation by differentiation method. https://papers.ssrn.com/sol3/papers.cfm?abstract_id=4384377#:~:text=https%3A//dx.doi.org/10.2139/ssrn.4384377
Differential Equations

03/29/23

How to find the General and particular solution of an ODE

Find a particular solution and the general solution to the ODE: y" + 2y' + y = 3t^(2) + 5e^(2t) y" - y' - 2y = 4sin(3t) y" - y' - 12y = 3te^(2t)
Differential Equations

03/28/23

Quadratic Functions problem

I have an equation of "a1 released his ballon from the 10-yard line, and it landed at the 16-yard line, if the ball reached a height of 27 years, what equation represents the path of his toss?I... more
Differential Equations

03/27/23

Translate the sentence into an equation

The sum of 3 times a number and 2 is 7
Differential Equations Math Calculus

03/24/23

Expressions involving complex numbers

A question on my homework is as follows:e^(ln(3)+(π/2)i) * (2π/3)^3 - 3π/3The question states "Solve and simplify as much as possible. Give the answer in rectangular coordinates (in the form 𝑥 +... more
Differential Equations

03/22/23

Need to find out the equation

Write an equation that represents twelve less than the quotient of n and eight is nine
Differential Equations

03/20/23

Find the general solution to the following differential equation y''+3y′−4y=0

Find the general solution to the following differential equation y''+3y′−4y=0
Differential Equations Calculus

03/20/23

If y1(t)=e^3t and y2(t)=e^−3t are solutions to y''−9y=0, what is the general solution?

If y1(t)=e^3t and y2(t)=e^−3t are solutions to y''−9y=0, what is the general solution?
Differential Equations Calculus Statistics Probability

03/20/23

Use substitution tUse substitution to evaluate the indefinite integral ∫3x^2e^(2x3) dx.o evaluate the indefinite integral ∫3x^2e^(2x3) dx.

Use substitutioUse substitution to evaluate the indefinite integral ∫3x^2e^(2x3) dx.n to evaluate the indefinite integral ∫3x^2e^(2x3) dx.
Differential Equations

03/16/23

Quadratic Polynomial Profit Problem

For a certain company, the cost for producing x items is 55x+300 and the revenue for selling x items is 95x−0.5x^2. The profit that the company makes is how much it takes in (revenue) minus how... more
Differential Equations

03/16/23

Solve the following system of equations graphically on a set of axes. y=-2x-8, y=2/3x+8

On a Graph with coordinates.

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