Looking for examples on differential equations. please write detailed steps. for what I ask
you can choose any equation of your liking to make examples with what is asked below please be as detailed as you can
I want to learn and be able to figure out how to do it. your help is much appreciated
-write the ODE of the model of the system (rate in - rate out)
-write the direction field (6x6) explain how
-find the solution for the initial value problem
Given a differential equation (any)
-find the direction field
-use appropriate theorem to prove a unique solution exists (Linear and Non Linear for both please)
-use euler's method and find approximate solution
-solve initial value problem (IVP)
-find existence and uniqueness by numerical approach and direct approach (use solution method)
-sketch solution and piece wise approximation
-which one is larger the approximation or solution and why?
Computation of Net Proceeds : | |||
Cash Received | $ 1,78,900.00 | ||
Less : Recourse Liability | $ (3,390.00) | ||
Net Proceeds | $ 1,75,510.00 | ||
Computation of Gain or Loss : | |||
Carrying Value | $ 2,42,700.00 | ||
Net Proceeds | $ 1,75,510.00 | ||
Loss on sale of receivables | $ 67,190.00 | ||
Journal Entry : | |||
Accounts title and explaination | Debit | Credit | |
Cash | $ 1,78,900.00 | ||
Loss on sale of receivables | $ 67,190.00 | ||
Recourse Liability | $ 3,390.00 | ||
Account Receivable | $ 2,42,700.00 | ||
(To Record loss on sale of receivables in books of pharoah inc.) | |||
Looking for examples on differential equations. please write detailed steps. for what I ask you can...
Consider differential equation (x - 1)y" – xy' + y = 0. a). Show that yi = el is a solution of this equation. Use the method of reduction of order to find second linearly independent solution y2 of this equation. (2P.) b). Find solution of the initial value problem (1P.) y(1) = 0, y'(1) = 1. c). Find solution of the initial value problem (1P.) y(1) = 0, y'(1) = 0. d). Does your answer in b) and c)...
4. Consider the differential equation with initial condition r(0) = 0 (a) What does the existence and uniqueness theorem tell you about the solution to this IVP? (10 points) (b) Use separation of variables to find the solution for the IVP r(to) = Io for to +0. (5 points) (c) Are the solutions to b) unique? (5 points) (d) Sketch solutions for Xo = --1,0,1 and to = 1 and show that for all to and to the solution goes...
2. Differential equations and direction fields (a) Find the general solution to the differential equation y' = 20e3+ + + (b) Find the particular solution to the initial value problem y' = 64 – 102, y(0) = 11. (e) List the equilibrium solutions of the differential equation V = (y2 - 1) arctan() (d) List all equilibrium solutions of the differential equation, and classify the stability of each: V = y(y - 6)(n-10) (e) Use equilibrium solutions and stability analysis...
Please help me do both problems if you can, this is due tonight and this is my last question for this subscription period. (Thank you) Euler's method for a first order IVP y = f(x,y), y(x) = yo is the the following algorithm. From (20, yo) we define a sequence of approximations to the solution of the differential equation so that at the nth stage, we have In = {n-1 +h, Yn = Yn-1 +h. f(xn-1, Yn-1). In this exercise...
I Do We Have the Complete Solution Set? A differential operator in R[D] has order n can be written out in the form o(n-1) with the last coefficient cn (at least) not equal to zero. The key to determining the dimension of these solution spaces is the following existence and uniqueness theorem for initial value problems. 'So it can be efficiently described by giving a basis. ethciently described by giving a basis Theorem 1 (Existence and Unique ness Theorem for...
please answer b. and c. Problem 1. Consider the differential equation given by (a) On the axes provided below, sketch a slope field for the given differential equation at the nine points indicated. locales de mor t e wold qolution to the given differential equation with the initial condition (b) Let y = f(x) be the particular solution to the given differential equation with the initial condition f(0) = 3. Use Euler's method starting at x = 0, with a...
Matlab & Differential Equations Help Needed I need help with this Matlab project for differential equations. I've got 0 experience with Matlab other than a much easier project I did in another class a few semesters ago. All we've been given is this piece of paper and some sample code. I don't even know how to begin to approach this. I don't know how to use Matlab at all and I barely can do this material. Here's the handout: Here's...
write MATLAB scripts to solve differential equations. Computing 1: ELE1053 Project 3E:Solving Differential Equations Project Principle Objective: Write MATLAB scripts to solve differential equations. Implementation: MatLab is an ideal environment for solving differential equations. Differential equations are a vital tool used by engineers to model, study and make predictions about the behavior of complex systems. It not only allows you to solve complex equations and systems of equations it also allows you to easily present the solutions in graphical form....
1. Consider the differential equation" = y2 - 4y - 5. a) Find any equilibrium solution(s). b) Create an appropriate table of values and then sketch (using the grid provided) a direction field for this differential equation on OSIS 3. Be sure to label values on your axes. c) Using the direction field, describe in detail the behavior of y ast approaches infinity. 2. Short answer: State whether or not the differential equation is linear. If it is linear, state...
Please answer ALL parts of the question. Will rate immediately!! Thank you!! 3. Modeling with Differential Equations a. Provide slope fields for the following differential equations: DE#1: y'-y-cos x; DE#3: y'-y-cos y. (4pts) DE#2: y-x-cos y, b. For each slope field, draw the solution curve for the initial condition y(0) 1. (4pts) Attach separate pages c. Use Euler's method to estimate y(2), using steps of h 0.5 and h0.1 '-y cosx,y(0)-1 You can use technology. Write your results accurate to...