Final Results of Project 1

Matt and I started working on the Differential Equation . dsolve(‘DY = ((2*y)/(x))’, ‘y’) ans = y^2/x+C1 My Blog post on (9/9/08) reveals all the mistakes Matt and I made trying to get  direction field line graphs in Matlab.  (9/11/09)      Most of this week I was frustrated because I did not know or understand Matlab [...]

Euler’s Method

delta x x y 0.1 1 5 1.1 4.4 1.2 3.806 1.3 3.22928 1.4 2.6794736 1.5 2.164347296 1.6 1.689695202 1.7 1.259343969 1.8 0.875255495 1.9 0.537709506 2 0.245544699 2.1 -0.00356424 2.2 -0.21281575 2.3 -0.385996285 2.4 -0.527217139 2.5 -0.640685026 2.6 -0.730513769 2.7 -0.800580189 2.8 -0.854423538 2.9 -0.895184948 3 -0.925581313 3.1 -0.947906919 3.2 -0.964055774 3.3 -0.975557926 3.4 -0.983623811 [...]

SEpt.16,2006

progress in a weird way

Most of this week I was frustrated because I did not know or understand Matlab syntax.  It made it difficult to progress at the speed I wanted to.  Matt and I kept trying to figure out how to get the initial equation we had picked to graph.  We actually had picked this equation because it [...]

read

  >> ezplot (SOL,[-500, 500]) >> ezplot (SOL,[-100, 100]) >> ezplot (SOL,[-300, 300]) >> ezplot (SOL,[-300, 300]) >> ezplot (SOL,[-100, 100]) >> ezplot (SOL,[-10, 10]) >> ezplot (SOL,[-1, 1]) >> ezplot (SOL,[-10, 10]) >> ezplot (SOL,[-100, 100]) >> ezplot (SOL,[-10, 10]) >> ezplot (SOL,[-1, 1]) >> ezplot (SOL,[-10, 10]) >> ezplot (SOL,[-300, 300]) >> ezplot [...]

9-11-08

(9/11/08) >> [T,Y] = meshgrid(-1:0.1:1,-1:0.1:1); >> S=-T*(Y+1); >> L=sqrt(1+S.^2); >> quiver(T,Y,1./L,S./L,0.5), axis tight >> [T,Y] = meshgrid(-0.5:0.05:0.5,-0.5:0.05:0.5); >> S=-T*(Y+1); >> L=sqrt(1+S.^2); >> quiver(T,Y,1./L,S./L,0.5), axis tight >> [T,Y] = meshgrid(-0.1:0.01:0.1,-0.1:0.01:0.1); >> S=-T*(Y+1); >> L=sqrt(1+S.^2); >> quiver(T,Y,1./L,S./L,0.5), axis tight

MTH 212 Project 1

I am working on the Differential Equation . dsolve(‘DY = ((2*y)/(x))’, ‘y’) ans = y^2/x+C1 >> dsolve(‘DY = 2*y’)/x’ ??? Undefined function or variable ‘x’. >> dsolve(‘DY = ((2*y)/(x))’, ‘y’) ans = y^2/x+C1 >> SOL= dsolve(‘DY = ((2*y)/(x))’, ‘y’) SOL = y^2/x+C1 >> ezplot(SOL,[-10,10]) ??? Error using ==> char Cell elements must be character arrays. [...]

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