Solving a System of 2 ODES with Interval conditions (IVP)

In Progress

1. The problem statement, all variables and given/known data

I am trying to solve a system of 2 ordinary differential equations using matlab. However, I am not able to get numerical solutions from the code despite having keyed in all possible solutions.

2. Relevant equations

The equations I am given are:



and the boundary conditions are:

y(1)=0; y(1.2)=-100E6

3. The attempt at a solution

My code so far:

%Mechanical Properties of Material




%Constants A,B,C,D in the Equations

a11= (1/E);

a12= (-nu/E);

a33= (1/E);

A= (a12)/(a11+a12);

B= ((a33)-((2*a12^2)/(a11+a12)));

C= (a11)/(a11^2-a12^2);

D= (2*a12+a11)/(a11+a12);

%Defining the System of 2ODES

syms x(t) y(t)

eqns = [diff(x,t)==A*(x/t)+B*y, diff(y,t)==-C*(x/t^2)-D*y];

cond = [y(1) == 0, y(1.2)==-P];

withSimplifications = dsolve(eqns, cond)

withoutSimplifications = dsolve(eqns, cond, 'IgnoreAnalyticConstraints', false)

[xSol(t), ySol(t)] = dsolve(eqns)

The answer is get is

Warning: Explicit solution could not be found.

> In dsolve (line 201)

In IsotropicThickWallCylinder (line 18)

xSol(t) =

[ empty sym ]

ySol(t) =

[ empty sym ]

Would really appreciate some help.

Skills: Engineering, Mathematics, Matlab and Mathematica, Software Testing

See more: solving mechanical problems, mechanical translational system transfer function, mechanical electrical system, translational mechanical system, translational mechanical system shown figure, simulation mechanical system, mechanical power transmission system design, inverted pendulum mechanical system, mechanical turk system admin, mechanical system design specification template, freelance mechanical system engineers, mechanical trading system, design mechanical system, mechanical system projects, voilation principle maintainability mechanical system

Project ID: #12240206

Awarded to:


You are going totally wrong way: 1. You cannot categorize this problem as an IVP. 2. As the equations are not linear, hardly you get the solution following straightforward ways when using symbolic toolbox. I can More

£50 GBP in 2 days
(22 Reviews)

12 freelancers are bidding on average £33 for this job


Hi. I think I will be able to do this. Regards.......................................................

£30 GBP in 1 day
(113 Reviews)

Hello, how are you? I hope you have a bright day/evening from your side. I have read the details provided, but please contact me so that we can discuss more on the project. I believe I have the required skills in this More

£84 GBP in 3 days
(9 Reviews)
£18 GBP in 1 day
(12 Reviews)

hello, So you want to solve a system of defirential equation, the unknowns are x and y that vary with respect to t. you given the value of y in t=1 an t=1.2 as if you have a boundary problem, my first question is what More

£50 GBP in 2 days
(14 Reviews)

----------Nice Job! Matlab Expert!------------ Dear, sir. Your project attracted my attention at first glance, because I've really rich experience in MATLAB simulation and programming. I'm really confident about you More

£20 GBP in 1 day
(8 Reviews)
£18 GBP in 1 day
(7 Reviews)

Hello, Dear friend. I am expert in matlab, physics, math,... I have a lot of experiences in many fields. I can help you well. Please contact me. Best regards.

£13 GBP in 1 day
(3 Reviews)

Hi, I've been working on matlab for several years and would like to work on your project. I'm looking forward to hearing from you.

£50 GBP in 1 day
(2 Reviews)
£23 GBP in 1 day
(1 Review)

Hello, I would like to work on this project as I am working on Matlab for my master thesis. Regards, Aakash

£23 GBP in 1 day
(0 Reviews)

Knowledge Pro innovative is dedicated to brings to Industries, Small-Business and people like you a good service, we provide complete solution on Engineering, energy, circuit design, statistics, statistical analysis, More

£11 GBP in 1 day
(0 Reviews)

I have worked with Matlab since I started my graduation course. I have worked in the analysis of electrical power systems and some concepts of an aircraft used in the SAE Aerodesign competition, in Brazil. I worked for More

£30 GBP in 1 day
(0 Reviews)