Recent content by gpax42
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MATLAB Lotka-Volterra trapezoid method convergence slope error in Matlab
Thank you for the helpful response :smile: since I'm plotting the loglog of the difference between my final population values(global error) that resulted from halving my h-value, i believe youre correct in noting that my graph should have a slope of 1. This, however, begs the question of...- gpax42
- Post #3
- Forum: MATLAB, Maple, Mathematica, LaTeX
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MATLAB Lotka-Volterra trapezoid method convergence slope error in Matlab
I'm trying to calculate the error of the Trapezoid Method in my population approximations for wolves and moose over time given certain parameters. Ultimately what i need to do is perform a series of trapezoid approximations using different 'h' values. Each successive 'h' value I use is half...- gpax42
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- Approximate Error Matlab Method Trapezoid
- Replies: 2
- Forum: MATLAB, Maple, Mathematica, LaTeX
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How Do You Solve the Verhulst Equation for Logistic Population Growth?
ahhh I see... when I separated variables, however, I found... \intdP/[P(1-P/k)] = \intrdt I then manipulated the left side to read K/[P(K-P)] ... after partial fractions... = 1/P + 1/(K-P) int[1/P + 1/(K-P) )dP] = int[rdt] following through with integration leads to...- gpax42
- Post #3
- Forum: Calculus and Beyond Homework Help
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How Do You Solve the Verhulst Equation for Logistic Population Growth?
Hi all, it's been a over a year since I took my differential equations and linear algebra course and I'm currently enrolled in a class that assigned this problem as a sort of refresher on analytically solving differential equations. I can't seem to remember the proper approach to going about...- gpax42
- Thread
- Replies: 2
- Forum: Calculus and Beyond Homework Help
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Finding A, B, and C in a partial fraction decomposition
When I attempted the problem I managed to get C = -1, A = 4 and B = 2... any idea if this is right? I multiplied through to get a common denominator and then set the numerators equal to one another. A(x+1)(x) + B(x-1)(x) + C(x2-1) = 5x2+2x+1 I distributed and found... Ax2 + Ax +...- gpax42
- Post #12
- Forum: Precalculus Mathematics Homework Help
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MATLAB Matlab Problem structured array
i think i got it to work correctly... here's my code... ----------------------------------------------------------- function board = makeBoard(rows,cols) for rowIndex = 1:rows for colIndex = 1:cols board(rowIndex,colIndex).type = '-'; end end for index = 1:.1*rows*cols...- gpax42
- Post #5
- Forum: MATLAB, Maple, Mathematica, LaTeX
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MATLAB Matlab Problem structured array
thanks for the great advice :smile:... I wrote out the code for the algorithm. My first for loop looks something like this... function board = makeBoard(rows,cols) for rowIndex = 1:rows for colIndex = 1:cols board(rowIndex,colIndex).type = '-'; end end for index...- gpax42
- Post #3
- Forum: MATLAB, Maple, Mathematica, LaTeX
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MATLAB Matlab Problem structured array
Not sure if anyone here is familiar with MATLAB programming. I am supposed to create a structured array (resembling a game board) that acts as a predator/prey simulator. The user needs to specify the size of the game board. Within the gameboard I am supposed to represent a couple of different...- gpax42
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- Array Matlab
- Replies: 5
- Forum: MATLAB, Maple, Mathematica, LaTeX
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A number in matlab by default uses how much memory?
A number in MATLAB by default uses how much memory? my professor asked me this question today and I wasnt sure. In MATLAB I assigned a random number to the variable x >> x = 5.5623 and then used the "whos" command to determine how many bytes were stored. According to "whos", the...- gpax42
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- Matlab Memory
- Replies: 1
- Forum: Engineering and Comp Sci Homework Help
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MATLAB How many bytes does MATLAB store a number in by default?
A number in MATLAB by default uses how much memory? my professor asked me this question today and I wasnt sure. In MATLAB I assigned a random number to the variable x >> x = 5.5623 and then used the "whos" command to determine how many bytes were stored. According to "whos", the...- gpax42
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- Matlab Memory
- Replies: 1
- Forum: MATLAB, Maple, Mathematica, LaTeX
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Is Matrix A Invertible? Solving Linear System with Gaussian Elimination
Homework Statement Suppose that Gaussian Elimination gives the soluiton of a Linear System Ax=c as x = x0 + a1x1 + a2x2, where A is a 6X6 matrix and a1 and a2 are arbitrary. Is the matrix A invertible? Explain The Attempt at a Solution I simply explained that due to properties of an...- gpax42
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- Linear Linear system System
- Replies: 1
- Forum: Calculus and Beyond Homework Help
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Showing functions form a basis
ooo alright, thanks for all the helpful explanations =D- gpax42
- Post #7
- Forum: Calculus and Beyond Homework Help
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Showing functions form a basis
is it D = dt2/[(5/2)t2-(3/2)]- gpax42
- Post #4
- Forum: Calculus and Beyond Homework Help
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Showing functions form a basis
Homework Statement Show that the functions po(t)=1, p1(t)=t, p2(t)=1/2(3t2-1), and p3(t)=(3/2)*[(5/3)t3-t) also form a basis for the vector space P3(R) ... "R" meaning all real numbers Homework Equations I know these polynomials are the first four Legendre polynomials The Attempt...- gpax42
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- Basis Form Functions
- Replies: 6
- Forum: Calculus and Beyond Homework Help
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Finding System Solutions of the system Ax=0; A being a matrix
My class learned about row operations today but I didn't think to apply them because I began this problem yesterday... Thanks for your advice :biggrin:- gpax42
- Post #4
- Forum: Calculus and Beyond Homework Help