Questions on the analytic and numeric equation solving functions of Mathematica (Solve, Reduce, NSolve, FindRoot, DSolve, RSolve, etc.).

learn more… | top users | synonyms (5)

0
votes
1answer
247 views

solve equations with high degree

this is my code,i want to solve this equations.can anyone give me some help about this,wheather mathematica can solve this.thanks a lot ...
0
votes
1answer
97 views

If domain Reals specified all constants should be real? Problem with Solve

I've got a problem solving an equation. I want to solve: Solve[Arg[h]==0, r0, Reals] with h being some imaginary number ...
1
vote
2answers
213 views

Problems with Solve when constraining solutions to a range

I have the following code ...
1
vote
2answers
159 views

Intersection with FindInstance

How to find individual root parameters pair ( t, T) to find curve intersections using FindInstance? Hopefully it would output two, instead of 6 pairs in the following: ...
0
votes
0answers
90 views

Trying to Simplify an Expression

I'm trying to simplify an expression: ...
0
votes
2answers
81 views

Solving coefficients of a function having boundary conditions

I have a function F=c+dz, which has particular boundary values, say F(z=1)=2 and F(z=-1)=1, ...
2
votes
3answers
519 views

Points of Intersection

How to numerically find points of intersection between pair of curves (Here,a circle and a parabola) ? Finding it a bit messy as, for a point on one curve, slope of the other is involved. ...
2
votes
1answer
270 views

Structure analysis based on direct stiffness method. Solve taking too much time

The program generates a very large matrix based on some input from the user. The matrix is symmetric and called generalstifnessmatrix. It also generates 2 other lists(displacement and forces list) ...
2
votes
1answer
157 views

Symbolic quadratic constrained maximization with non-negativity constraints?

Dear Mathematica users, I attempted to maximize the below quadratic function K, subject to x1+x2<=A, and a series of ...
5
votes
1answer
285 views

A problem about Steffensen method

Two days ago,I asked a question about bisection algorithm. Thanks for Michael E2 giving me a good solution My algorithm 1, I use the bisection algorithm to generate a initial value that contain a ...
-1
votes
2answers
186 views
12
votes
8answers
599 views

Find the minimum integer r such that $(10^r - 1)/37$ is an integer

I know Element[(10^r - 1)/37, Integers] tests the condition. So what is the command that gives me the minimum integer value r ...
9
votes
3answers
953 views

Implement the Bisection algorithm elegantly and easily

Description: Rencently, I have finished my course Numerical Analysis, so I'd like to implement many algorithm that I have learned from that course.By this practice, I hope that I can improve my ...
0
votes
2answers
98 views

Obtaining the relations of variables using diagonal matrices

I know this is too an elementary question, but I am a pathetic newbie in mathematica and I cannot find any answer by googling. What I want is obtaining some relations of unknown variables using their ...
0
votes
1answer
132 views

Solve with limit over multiple variables

Very new to Mathematica so apologies for what is probably numpty question. The following returns no solutions. However, there is a solution! If I set a = 1 I get the solution b = 1/2. Can you explain ...
0
votes
0answers
100 views

solving singular matrix [duplicate]

Hello I have a matrix that is singular, and i wanted to use linear solve to solve it but that doesn't work with mathematica. The matrix given as a list looks like this: ...
4
votes
2answers
330 views

Specifying and solving a PDE on an L-shaped domain

I wish to solve Laplace's equation with Dirchlet boundary conditions on an L-shaped domain as described here http://www.inf.ethz.ch/personal/tulink/FEM14/Ch1_ElmanSyvesterWathen_Ox05.pdf I know how ...
2
votes
1answer
140 views

Optimizing alphametrics code

First of all, thank you all in this great community. I have been reading a lot of threads about Mathematica optimization learning things like using Compile ...
0
votes
0answers
43 views

Plotting the real positive solution to a parametric equation [duplicate]

I have the following parametric equation $$ x^2-a=0 $$ where $a$ is a given parameter. I would like to plot the nonnegative real root ($\sqrt{a}$) using NSolve as $a$ varies from $0$ to $1$. Can ...
-3
votes
2answers
235 views

Why does this function inside FindRoot fail to evaluate?

Can someone help me understand why function mu found below does not execute when everything before it seems ok. ...
0
votes
0answers
178 views

How to assign equation solutions to variables [duplicate]

I have 12x12 Matrix with which I have to solve the equation below: ...
0
votes
1answer
71 views

Searching in parameter space for a given number of solutions

I have this problem : I have some function g[a,b;x], where a,b are parameters and x is a variable. I know (graphically) that an equation g[a,b;x]=0 has zero, one or two solutions. I want to keep 'a' ...
1
vote
0answers
253 views

Equation Solving

As I stated in this question I want to solve a series of equations while setting some rules such as q[2]->1 or q[2]->3*10^-4. However, what should I do if I want to set another rules to my input? I ...
0
votes
1answer
126 views

Non Linear Equation Solving with Matrices

Suppose I have the following matrix equalities: A=X, B=Y where the left-hand side matrices are numeric and the right hand side contains non-linear combinations of unknowns. Since I have quite a few ...
0
votes
0answers
75 views

How to find only the negative Imaginary solutions and positive Real solutions?

Following this post Help Please : Error in plotting the solutions of FindRoot , I want to plot only the negative Imaginary solutions Wi(K)<0 and positive Real solutions Wr(K)>0. Please, how do it? ...
0
votes
1answer
66 views

Finding a solution when there are two piecewise functions at play

The goal is to mathematically figure out where is the point when the both of the diagrams are the same distance to the Y-axis. The solution to such a problem can be obtain quite easily by just ...
2
votes
0answers
380 views

Apart for complex roots?

Let p[x] be a polynomial in x and consider the partial fraction decomposition of 1/p[x]. ...
0
votes
1answer
99 views

Solving A Series of Equations

I want to find the solutions of a series of equations as I stated in this question before. I understood how to solve the equations by maximizing the value of a variable but now I want to find the ...
1
vote
2answers
1k views

How to obtain all solutions for Cos[x] Cosh[x] == 1?

Both analytical solutions or all numerical solutions are good enough. FindRoot may be a possible solution, any better solution? ...
0
votes
0answers
82 views

when DSolve fails

I am doing this mathematical problem $c*G_{vv}+ d*G_{u} + e*G_{v} +f*G=0$, where $c, d, e$ and $f$- are constant coefficients. I already know that this is second order PDE and we classify it by ...
1
vote
1answer
172 views

strictly positive solution to $Ax=b$

How to find in mathematica one real strictly positive solution, if any, of $Ax=b$. A is rectangular matrix. Thanks
2
votes
1answer
171 views

Seeking simple function in interval

I am a bit rusty, and struggling to solve this problem. Looking for a simple, well behaved parametric function f[t], from [0,1] to [0,1] such that: f[0] = f0; f[1] = f1; f'[1] = ff1; where -1<= ...
2
votes
2answers
306 views

How to find roots of a system of equation when number of equations and variables don't match?

I'm trying to check if a system of equations has a solution around a given point, the problem is that I'm using FindRoots and doesn't work when there are a different number of equations and variables, ...
2
votes
3answers
100 views

Solve an equation for a product

I have an equation a = bcd/fg and I have another one that I can take bcd out of. Easy enough to do by hand, but Mathematica ...
1
vote
1answer
125 views

Numerical solution of two equations in two functions

I would like to obtain a solution to the following two equations, where g0[y] and g1[y] are the unknown functions: ...
5
votes
1answer
398 views

How to solve this Integral equation

D[x[t] - x[t - 1]/(2 E), {t, 3}] + Integrate[E^(-δ)*x[t - δ]/5^t, {δ, 2, 2.5}] == 0 I found solve this problem is hard with Mathematica. I also find a article ...
0
votes
1answer
350 views

How to put constraints on NDSolve[] solution

Assumed the following example of double pendulum by Thison (Answered by Jens): Animation of double pendulum Imagine that in the given animation(i.e. http://i.stack.imgur.com/p4TgL.gif ), the second ...
-1
votes
1answer
179 views

How to “Control” the Type of Solutions Mathematica Produces Using the Solve Function

Given multiple fractions I am using the Solve function to find the values of the variables $x[1],\ldots,x[7]$ such that the numerator and denominator of each fraction are both 0. I usually have ...
1
vote
1answer
1k views

This system cannot be solved with the methods available to solve

I know questions about this warning have been posted a thousand times over. But I really couldn't find any solution that worked in my case. It's quite simple: ...
0
votes
2answers
69 views

NSolve gives {{ x -> #}}, How do I make x = #; I need to use the x value again later

I want to use: demand = {1.92, 2.07, 2.37, 2.72, 2.87}*10^6; NSolve[SetV == demand[[1]]/(Cpf (1 - χ)), χ] I want to make a vector of solutions ...
0
votes
2answers
143 views

Systems of equations

As I stated in this question I am trying to find the roots of a set of equations. I followed the instructions that the answer gave me and Mathematica gave me the solutions. 1- However whenever I try ...
2
votes
0answers
172 views

What are the steps using boolean algebra for transforming one equation into another?

I have a special case where I have two equations, which I have solved in a better and quicker way, but I need to solve with Boolean algebra. Using the laws of Boolean algebra, I have to prove that ...
1
vote
1answer
220 views

How To Replace $\rightarrow$ by $==$ in Mathematica's Output when using Solve

I want to create equations out of the output (solutions) produced by Mathematica when using the Solve functions. For argument's sake, consider the following. ...
2
votes
1answer
113 views

Multiple dynamic equations for plotting?

Say I have a bunch of equations between variables e.g. h=bcd, i=hce, j=ihbd, ...
1
vote
1answer
127 views

Non-linear system of equations with a parameter

I want to solve k*x-(x-y)*y^2==0 and y+(x-y)*y^2-(1-x-y)==0 for -10 < k <10 How ...
3
votes
1answer
129 views

Solving simultaneous systems of linear equations

I have several systems of linear equations in matrix form, and I would like to find the $\vec{x}$ that simultaneously solves them: $$A_1\vec{x} = b_1$$ $$\vdots$$ $$A_n\vec{x} = b_n$$ Is there a ...
7
votes
0answers
143 views

How does Mathematica resolve symbolic systems of inequalities? [closed]

Before getting into my question, let me provide some context: I recently started using Mathematica to automatically perform stability analyses that I previously did by hand. A major part of the ...
3
votes
1answer
302 views

Solving a large system of nonlinear equations

I have a system of 80 nonlinear equations with 64 variables to solve in Mathematica but it takes a lot of time (about two hours) and then it return "no more memory available" knowing that I have 8GB ...
2
votes
2answers
355 views

cycloid parametric [closed]

How do I enter 3 parametric equations for cycloids corresponding to circles with radii 1, 2, and 4. I have tried ...
0
votes
1answer
114 views

How to re-express solution to system of equations after truncating the solution at a given order to give an exact answer

I have a simple enough system of two equations that need to be inverted: ...