# Questions tagged [equation-solving]

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

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### Solve::nsmet error message while trying to find symbolic solution for equation

I would like to solve several equations for x and I'm looking for symbolic solutions. The later ones might have some rather difficult or no result at all, but I ...
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### Revolve a function around the x-axis and getting the 3D-model

I have the following differential equation: $$\pi\cdot\left(\text{y}(x)\right)^2=\sqrt{1+\left(\text{y}'(x)\right)^2}\tag1$$ With the initial condition $\text{y}(0)=1$. Now, I want to plot the ...
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### Integration of a fraction function by RootSum or Rubi

I'm trying to solve an integral of p[Tau,r] function: ...
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### How to iterate an answer to an equation using known values?

I have no idea how or where to start, I don't have to vocabulary or terms so let's ask the community. Problem: I have a known value X that is the answer of the equation. I have a range of known values,...
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### How to solve for y for a set of implicit (in x and y) linear equations for use in Plot?

From a matrix m={{1, 1}, {-1, 1}}, a vector b={1, 2}, and a list of variables vars={x,y} we ...
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### Mathematica does not stop running when trying to reduce a inequality

I have a problem when running the command as Mathematica never stops running. I wonder if it's because there are too many solutions or just because I wrote something wrong. Thanks for your help. The ...
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### Solving three non-linear ODEs analytically in one variable

Any idea what is the best way to substitute to analytically solve these equations in y(x) ? ...
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### How to solve this equation with rank relation of matrix

It has been known that matrix A is equivalent to matrix B, and I want to find the possible value of parameter ...
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### What class order should I use to study calculus? [closed]

I would like to know how I should go about studying calculus, and in what order should I take the classes. I have searched tirelessly for answers and I am still confused. Here is what I have gathered ...
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### How can I find a functional square root in Mathematica?

A functional square root of a function $g$ is another function $f$ such that $g=f\circ f$. According to that article, there is a systematic approach to finding a functional square root that involves ...
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### How to eliminate the list case by Eliminate function

It is known that line L1: $\frac{x-a_{2}}{a_{1}}=\frac{y-b_{2}}{b_{1}}=\frac{z-c_{2}}{c_{1}}$ and line L2: $\frac{x-a_{3}}{a_{2}}=\frac{y-b_{3}}{b_{2}}=\frac{z-c_{3}}{c_{2}}$ intersect at a point. Now ...
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### Groebner Basis for Functions

We can use Reduce to solve the following Reduce[1 - Sqrt[a^(-1)] + Sqrt*Sqrt[(a + a^2)^(-1)] - Sqrt[2 - 2/(1 + a)] == -1 + Sqrt, a, Reals] We can also do ...
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### Why is Mathematica taking so long to solve this equation?

I was trying to solve a polarization problem where I needed to solve this transcendental equation. NSolve[(Cos[\[Pi]/n])^(2 n) == 0.90, n] I don't know why but ...
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### Plotting in for loop

I am having some problem while plotting the data being generated in for loop My aim is to plot the result of for loop while it is solving the equation for each value of w,i.e. plot between w and x ...
386 views

### Finding the intersection(s) of a 3D parametric surface and a line

I have some 3D parametric curve par and some line line. I want to find parameters u,v and t for the intersection points of par and line. I tried to do that with NSolve in many different ways and ...
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### How o use singular value decomposition function to find the natural frequency and mode shapes

I have a matrix R which is having a dependency on ω, I am interested in finding the natural frequency and mode shapes of this matrix using SVD how to do this?. The regular way is to take the ...
152 views

### How to solve a nonlinear second order ODE

I want to solve this equation y''[x] + a + b y[x] + c y[x]^2 == 0, y[∞] == 0, y'[∞] == 0 where a, ...
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### How to deal with unknown variables in NSolve?

I am trying to solve these equations by using NSolve and want to plot $p1^{2}+p2^{2}$ v/s P0. But there is some problem, it is showing running... but not showing any error. I don't know where I am ...
### Why mathematica does not solve the equation $x\left \lfloor x \right \rfloor=10$ for $x$?
The equation $x\left \lfloor x \right \rfloor=10$ has a real solution, which is $x=\frac{10}{3}$. But when I type Solve[x*Floor[x] == 10, x] a message comes: "...