**3.383 equation-solving questions.**

I have the following algebraic equation
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I have a function of trigonometric functions which must be equated to zero in order to obtain the appropriate results. This is done in the following fashion:
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I'm trying to complete an example from https://reference.wolfram.com/language/ref/InfiniteLine.html
Find the intersection of InfiniteLine[{0,0},{1,1}] and InfiniteLine[{{0,1},{1,0}}]:
But when I ...

I want to find a smooth continuous function f[x] that satisfies the following for real values of x:
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I want to find the numbers $a$, $b$, $c$, $d$ so that the equation
$$x^4 + a x^3 + b x^2 + c x + d=0,$$
where $d = \dfrac{c^2}{a^2}$
has four distinct integral solutions.
With Maple, I found some ...

F1[x_] := NIntegrate[E^Sin[y x], {y, 0, 1}]
F2[x_] := Log[x]
NSolve[F1[x] == F2[x], x]I want to solve the equation, but Mathematica don't solve it. ...

I have the following notebook (trying to caclulate the pull-in voltage of a structure):
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My problem is that I am trying to find a Numerical solution to a function of the form f(x,c)== K for x for some given values of c, K, and plot this function over a wide range of values of c.
My ...

I tried to run the codes
...

I'm trying to solve a non linear ODE numerically with ParametricNDSolve, but as far as I got is shown below. My problem is to set the find root correctly.
What I ...

I am having trouble solving the following differential equation, where $\theta(x)$ is a phase,
\begin{equation}
\frac{d\theta}{dx} + \sin^2 \left[ \theta(x) \right] + K^2(x) \cos^2 \left[\theta(x) \...

I am new at Mathematica and have very basic knowledge about it. I want to solve the following equation for variable x in Mathemtica.
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I have these three equations:1/X + 1/Y == 1/15;
1/Y + 1/Z == 1/20;
1/Z + 1/X == 1/25;I want to calculate the value of expression:
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I am studying this piecewise function:
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Below is an ODE with BC define as x[R]=0, x'[0]=0, x'[R]=0 and parameter n. The ODE is stiff at certain data, and I need to see the behavior of x' and x for given ...

I have a polynomial equation:
$-(a-ib)e^{(4\pi i/3)}(\sqrt{2}i+x^3/\sqrt{3})x- (a+ib) e^{(2\pi i/3)}(\sqrt{2}ix^3+1/\sqrt{3})=0$
(which in code is):
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I have a fairly simple program that yields puzzling output. The program is
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This calculation takes a very long time!
Why?
How can I improve it?
Thanks!
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I'm trying to solve the Schrodinger equation and having difficulties to define a
limitless region because the problem has the Dirichlet conditions at infinity. Maybe I don't need such a region and ...

I want to solve $(ct)^2 = d(t)\cdot d(t)$ for $t$, where $ d(t) = \frac{1}{2}at^2 + vt + r$
Where$ a, v$, and $r$ are all 3-dimensional vectors in Cartesian coordinates. How can I do this?

I'm trying to solve the SchrÃ¶dinger equation for a hydrogen atom in the Cartesian coordinate system.
This is my code
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In the paper, entitled:
A Closed Form Solution for the Pull-in Voltage of the Micro Bridge
(Link to PDF: https://pdfs.semanticscholar.org/0d31/33707b1243f6b4e3344c4fa19b831b010b8b.pdf)
... the ...

How can I correctly specify and solve a system of delay difference equations in mathematica similar to NDSolve with regard to delay differential equations?
For example if I want to "see" the values ...

I have a very complicated function but only of 1 variable. I want to find the first value for which that function is zero. Mathematica can easily plot it:
...

I have a system of three equations in three unknowns, $k$, $w$, $\theta$.
I am interested in solving the system and finding how the variables behave when some parameters change, say $\beta$ and $\...

I am using the following Solve code:
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So I'm brand new to Mathematica, and basically what I want to do is find the roots of a function at varying time intervals.
The function I'm using is:
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Suppose I want to solve something like:Solve[Sin[2x] == 0]but am only intrested in solutions between a < x < bIs it ...

I am new to Mathematica and I am struggling finding the solution for the following problem.
I am studying this piecewise function:
...

I have an question using vector:u = {u1, u2}; v = {v1, v2};$|u|=4$ and $|v|=2$ and $u.v=3$
Find: $(3u-2v).(-u+4v)$
I tried to use some solver, but nothing ...

I have the following function:
$$u(x,t)=\sum_{k=1}^\infty\frac{v_0 L}{\lambda_k c \sin\left(\lambda_k\right)}\sin\left(\frac{\lambda_kx}{L}\right)\sin\left(\frac{\lambda_kct}{L}\right)$$
and this ...

I am solving the following symbolic equation. The parameters are of certain ranges, which I specify using Assuming. However the solution presents a list of values, ...

I have an expression as
$1 - 2 \sqrt{1 + i r} + i r$,
where $r$ is real.
I want to find the roots of its imaginary part. So:
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i have a system of equations in which there are two parameters F, G. I choose F,G positive. the code is:
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i'm new in the world of mathematica. i have a simple problem : i want to find a solution of a system of equations. The problems are:
1) Is it better to use Solve or Reduce (for this kind of ...

I have problem solving this equation, smallest n such that $1355297$ divides $10^{6n+5}-54n-46$. I tried everything using my scientific calculator, but I never got the correct results(!).and finally I ...

So I was doing my homework and this system popped up, so I was trying to solve it but Mathematica has just been stuck with it for two days. It won't give me an answer.
I am trying to get the code to ...

This is my code defining two nonlinear equations. I want to solve them simultaneously.
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I'm trying to estimate the parameters for the following pair of differential equations
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Solve and Reduce both can be used for solving equations.
Just by working with them, I know there are some differences between ...

I would like to use low precision data (based on measurement results with a low precision) to solve a set of inequalities. I have prepared a minimum working example to demonstrate the issue. I am ...

I have a problem to calculate implicit equation in Mathematica, as follows:
$$
\theta_1=\arctan\left[\frac{u_2A_2}{u_1A_1}\tan(\phi-\theta_1)\right]
$$
My data are as follows:
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Problem statement:
I'm currently new to Mathematica and have been trying to solve this problem. I was digging around and found this code:
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I am looking to plot the function f[x, y] f[x_?NumericQ, y_?NumericQ] := Cos[x + y]/Sqrt[1 - y^2]where ...

Hi I'm trying to visualize a 2D equation that I have previously solved as I vary a parameter 'b'. First I solve for 'y' in terms of 'x' and 'b', then I intend to use Manipulate.
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I want to find the zeros of some nonlinear function in a certain range, say $f(x)=x^4+\frac{x}{1-x}-c$. If I enter
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I am trying to solve a set of recurrence equations as given below:
$p_{1, n}*(l + n*u1) = p_{1, n-1}*l + p_{1, n+1}*(n+1)*u1 + p_{2, n}*u2$,
$p_{2, n}*(l + n*u1 + u2) = p_{2, n-1}*l + p_{2, n+1}*(n+...

- differential-equations
- plotting
- numerics
- numerical-integration
- polynomials
- functions
- linear-algebra
- simplifying-expressions
- calculus-and-analysis
- mathematical-optimization
- symbolic
- nonlinear
- matrix
- special-functions
- list-manipulation
- complex
- performance-tuning
- error
- parametric-functions
- trigonometry
- inequalities
- recursion
- difference-equations
- function-construction
- programming

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