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Paul's Blog | Just another WordPress.com weblog

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Paul's Blog | Just another WordPress.com weblog | paulm0218.wordpress.com Reviews
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Just another WordPress.com weblog
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1 paul’s blog
2 block 6
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8 a=ans;
9 laplasesolver 3cos t 1 1
10 final =
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Paul's Blog | Just another WordPress.com weblog | paulm0218.wordpress.com Reviews

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1

Block 5 | Paul's Blog

https://paulm0218.wordpress.com/2009/05/01/block-5

Just another WordPress.com weblog. In Block 5, I will be looking at systems of Differential Equations. Systems of Differential Equations are linked by multiple variables as opposed to just one like in previous blocks. In order to study and solve complicated systems we need to use more than one dependent variable as well as multiple equations. T(x,y)=(x y,x). We can seperate this equation in two:. The first thing we need to do is set. X y,x)=(λx,λy). This simplifies into two separate equations of. Leave a...

2

First Block | Paul's Blog

https://paulm0218.wordpress.com/2009/01/28/first-block

Just another WordPress.com weblog. In my first post there will be two problems analyzed, one from the text. 17) and the given problem. Dy/dx = y 2 t. The first thing I will do is plot a direction field for the first differential equation using MATLAB. Using the text, on page 85, the code used to create the direction feild in MATLAB is the following,. X,Y]= meshgrid(-2*pi:.25:2*pi,-2*pi:.25:2*pi);. DW=sqrt(DX. 2 DY. 2);. Quiver(X,Y,DX./DW,DY./DW,.33, ‘.’. Xlabel( ‘x’. Ylabel( ‘y’. Fn=feval(fname,xn,yn);.

3

THIRD BLOCK | Paul's Blog

https://paulm0218.wordpress.com/2009/03/02/third-block

Just another WordPress.com weblog. In the third block we will be looking at the three dimensional graphs using both Euler’s method and the Ode45 method from last block. The lorenz equations are the given examples we will be analyzing with these graphs. The block will conclude with an analysis of the Rossler system of differential equations. The Lorenz Attractor is made up of three equations, which are. Function[t,y] = eulerpm (f,t range, y initial, nstep). Dt = (t range(2) – t range(1) / nstep;. As you c...

4

block 2 | Paul's Blog

https://paulm0218.wordpress.com/2009/02/20/block-2

Just another WordPress.com weblog. In this block we will use three different methods to solve six differential equations. The first method we will be using is Euler’s method, just as we did in block 1. The next two methods, the ode45 equation solver and the dsolve function in MATLAB will both be used an compared to Euler’s method. PROBLEM 1. :. Dy/dx=x 4*y ; y(1)=1; expression solution $ latex y= frac {1}{sin(x) 1} $. Function [x,y] = euler (f,x range, y initial, nstep). Y = y initial;. For i = 1 :nstep.

5

February | 2009 | Paul's Blog

https://paulm0218.wordpress.com/2009/02

Just another WordPress.com weblog. February 20, 2009. In this block we will use three different methods to solve six differential equations. The first method we will be using is Euler’s method, just as we did in block 1. The next two methods, the ode45 equation solver and the dsolve function in MATLAB will both be used an compared to Euler’s method. PROBLEM 1. :. Dy/dx=x 4*y ; y(1)=1; expression solution $ latex y= frac {1}{sin(x) 1} $. Function [x,y] = euler (f,x range, y initial, nstep). Y = y initial;.

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