0
votes
1answer
40 views

Solving an ODE in Maple via Picard approximations

I am trying to use Maple to apply Picard approximations to the following ODE: $$ 2xyy' + x^2 - y^2 = 0,\ y(0) = 1 $$ I transformed it into the form $y' = f(x, y)$: $$ y' = \frac {y^2 - x^2} {2xy} ...
2
votes
2answers
46 views

How to plot a surface in maple where the range is given by an expression, not constants?

Im trying to plot the surface $z=(1+x^2)/(1+y^2)$ , but specifically the part of the surface that is above $|x|+|y|\leq1$. Cant seem to find any information on how to produce a plot in maple, where ...
1
vote
2answers
56 views

Plotting function with 2 variables within constraints

I have a function of two variables: With some values Now I have to plot this, so that tha values of U are between -5 and 0. How do I do this? (Note: It's not the values of x and y that need to be ...
1
vote
1answer
62 views

How to use any function interpolation method to create two functions …

I need help desperately on this. I have been working on it for a while. Use any function interpolation method studied in the course to create two functions $x(t)$ and $y(t)$ on $0 ≤ t ≤ 1$ so ...
0
votes
1answer
116 views

Problem concerning Numerical Solutions of Nonlinear Systems of Equations (Burden and Faires)

I need help with this particular question: The nonlinear system $3x_1 - \cos (x_2 x_3) - \frac{1}{2} = 0$ $x{_1}^2 - 625x{_2}^2 - \frac{1}{4}=0$ $\exp ^{-x_1x_2} + 20x_3 + \frac{10\Pi -3}{3}=0$ ...
3
votes
1answer
287 views

Laguerre polynomials and least squares polynomial

A similar question from Orthogonal polynomials and Gram Schmidt says: Use the Laguerre polynomials, i.e, $L_1(x)=x-1$,$L_2(x)=x^2-4x+2$, and $L_3(x)=x^3-9x^2+18x-6$, to compute the least squares ...
0
votes
1answer
112 views

Runge-Kutta-Fehlberg Method Problem

Suppose all infected individuals remained in the population to spread the disease. A more realistic proposal is to introduce a third variable $z(t)$ to represent the number of individuals who are ...
0
votes
1answer
98 views

Hermite Integration problem 1

Hey I am trying to calculate this problem of Hermite polynomial by hand, but I think it's way easier to do on Maple, so can anybody help me write the Maple code: Let $f(x) = 3xe^x - e^2x$. a) ...
1
vote
1answer
51 views

Running multiline Maple program

I am working on the question below, which I have copied from a PDF file. I have determined what the program does (Euclidian algorithm), but I need helping running the actual program. I am instructed ...
1
vote
3answers
89 views

How do I plot a bunch of vectors in Maple and find the difference and cross product between them?

Title says it all. This is the assignment I'm trying to do. http://math.rutgers.edu/~shtelen/Teaching/Fall-2013/L1_instr.pdf Data I need to plot ...
0
votes
2answers
159 views

Area & Arc Length of $r=1+6\sin(\theta)+\cos(6\theta)$

How do I approach this problem? Graph the following polar curve and show that it cuts out 5 different regions. Find the area of each of those regions. $$r=1+6\sin(\theta)+\cos(6\theta)$$ Also, find ...
0
votes
1answer
67 views

Using functions in Maple

How do approach this problem? Write a function points which takes a list L of non negative integers and returns a list of pairs $[x, y]$ where $1 ≤ x ≤$ the length of $L$ and $1 ≤ y ≤ L[x]$.
1
vote
4answers
86 views

Complex functions

I need help solving this problem: For $z$ a complex number, let $g(z) = \frac{1 + 2z }{1 + z}$. Find a function $h_1(z)$ such that $h_1(g(z)) = z$ and another (possibly the same) $h_2(z)$ such that ...
0
votes
0answers
74 views

Complex or contour plot

I need to write a function f1 and f2 such that g(z) = 1/z and f1(g(z)), f2(g(z)); both plots on the same graph should look something like this graph: http://i.stack.imgur.com/iWDrk.png So far i came ...
6
votes
1answer
214 views

Is correcting 2 consecutive error's in 9 messages from $ GF(2^6) $ by turning tham into 3 messages and solving Reed-Solomon code $ (3, 18) $ possible?

2 consecutive messages have errors. We have 9 messages from $ GF(2^6, x^6+x+1) $. Messages were encoded with $ (x+1)(x+a)(x+a^2)\sum_{i=1}^6X_ix^{i-1}=\sum_{l=1}^9Y_lx^{l-1} $ , where $ ...
0
votes
1answer
2k views

System of differential equations in Maple

I have problems entering a system of differential equations to Maple 13. Equations are: $x' = -4x + 2y$ $y' = 5x - 4y$ Solve for $x = 0, y = 0$ Thank you in advance