# What is Equation system: Definition and 32 Discussions

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought. An equation system is usually classified in the same manner as single equations, namely as a:

System of linear equations,
System of nonlinear equations,
System of bilinear equations,
System of polynomial equations,
System of differential equations, or a
System of difference equations

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1. ### A Equation system involving InverseDigamma(Digamma(a+1)-b*k)-1

How would one go about solving this for a and b given N, E and K? n(0) + n(1) + … + n(K) = N n(0)*0 + n(1)*1 + … + n(K)*K = E Where n(k) = InverseDigamma(Digamma(a+1)-b*k)-1
2. ### Finding the Equation System of a Complex Mechanism: Using Lagrange Formalism

Summary:: equation system of complex mechanism need to be done. Lagrange Formalism could be helpfull to do it but small errors could all destroy .. Hi everyone, I tried to find the equation system of the joined Mechanism (4 DoF). I think there is a mistake but I am not sure where is it . I...

15. ### Solving equation system

Homework Statement v_{f1}^2 = v_{01}^2 - m_{1}/m_{2} * v_{f2}^2\\ v_{f2} = m_{1}/m_{2} * (v_{01} - v_{f1}) Solve for Vf1 algebraically. How to solve this in the easiest way without having miles of calculations? Homework Equations The Attempt at a Solution When I try to use the...
16. ### Differental equation system and Lyapunov stability

Homework Statement Example: x'=y-x^3 y'=-x-y^3 Homework Equations The Attempt at a Solution Linear system x'=y y'=-x Is stable because Det(P-\lambdaE)=\lambda2+1 \lambda1,2=+-i So if I am not mistaken,than Ishould use Lyapunov stability,because the linear system is stable and I can't say...
17. ### Nonlinear coupled differential equation system - kinetics

Dear All, Recently, I have measured a series of nonlinear vibrational spectra from which I would like to extract some useful information about kinetics of the exchange process occurring in the studied system. I need to fit my experimental data to kinetic model that is a solution of coupled...
18. ### Differential Equation system and matrix

I have a quick question. I have to write the differential equations in matrix form Eq1:= x1'(t) = -a1*x1(t) + vf Eq2:= x2'(t) = a1*x1(t) - a2*x2(t) is this correct :
19. ### Problem solving equation system

Homework Statement Solve this equation system for x, y and lambda. \left\{\begin{matrix} 2x = \lambda (2x-6y)\\ 2y = \lambda(-6x-14y)\\ x^2-6xy-7y^2+80=0 \end{matrix}\right. The Attempt at a Solution I really tried A LOT of things, but I can't solve it. I think it is not helpful to post...
20. ### Linear Algebra: Linear Equation System -> Parameter Form

Homework Statement Consider the following linear system of equations: x1+2x3-5x4 = 0 x1 + 4x2 +4x3 – 5x4 = 10 x1 + 2x2 + 3x3 – 5x4 = 5 4x1 + 2x2 + 9x3 – 20x4 = 5 b) Solve the equation system with the Gaussian method. c) The solution set describes a plane. Specify it in the parameter...
21. ### Shallow water flow - equation system unstable

Hello, everyone. I'm working on simulating shallow water flow. I'm using the MacCormack scheme and fractional predictor-corrector steps. The Dxy factor should make the equation system stable but no matter what numbers I input, the results skyrocket, up to 10^80 and more. Has anyone worked...
22. ### Prime number equation system

Hi i found a question in number theory, involving two equations, it goes as follows: Let p1, p2, p3 and p4 be 4 different prime numbers satisfying the equations 2p1 + 3p2 + 5p3 + 7p4 = 162 11p1 + 7p2 + 5p3 + 4p4 = 162 Find all possible values of p1p2p3p4. Not knowing what to do, i used the...
23. ### Solving Differential Equation System

Homework Statement x=z-y y=z z`=z-x x(0)=1; y(0)=1; z(0)=1 The Attempt at a Solution Would be glad to know the steps I need to take.
24. ### How to deal with homogenous differential equation system?

How to deal with homogenous differential equation system?? Homework Statement s'[t] == (-3 s[t])/580, m'[t] == (-19 m[t])/590, h'[t] == (3 s[t])/580 + (19 m[t])/590 - (2 h[t])/25, e'[t] == (2 h[t])/25 - (85 e[t])/116, o'[t] == (85 e[t])/116 - (33 o[t])/131 Homework Equations it...
25. ### Solving equation system, need to augment my code

Hello, friends. I just registered because I desperately need some help. Homework Statement For my bachelor's degree in physics, I'm trying to simulate gravitational microlensing of a background source on a system of objects, acting as gravitational lenses. I have the equation up and running...
26. ### Ordinary Differential Equation System with Variable Coefficients

Homework Statement For t\in\mathbb{R}, let: A=\left[\begin{array}{ccc} -1 & 0 & 0\\ 0 & 2 & 2t\\ 0 & 0 & 2\end{array}\right] Get the solution for the general equation: X'=A(t)X Homework Equations The Attempt at a Solution I done many of these problems, all with constant...
27. ### Solve a Integer equation system

Find smallest d=2a^2=3b^3+2=5c^5+3 where a,b,c are integers. This problem is very hard. Either no solution or d is toooooooo big
28. ### General solution of differential equation system

Homework Statement Find the general solution of the system of differential equations x'=10x - 12y y'=25x - 30y (where primes indicate derivatives with respect to t) by using the initial conditions x(0)=A y(0)=B Homework Equations The Attempt at a Solution x''=10x' - 12y'...
29. ### Matrix equation system

given the matrix A and vectors X & B A= 1 2 3 2 k 6 0 0 k-4 k 2k 3k X= x1 x2 x3 B= 2 4 0 2k what values of K(if any) will give AX=B-- a) with no possible x1 x2 x3 b) with a single x1 x2 x3, what are they c) with infinite options, including 1 free parameter? what is this...
30. ### Python, RungeKutta and first-order differential equation system.

[b] Homework Equations The equation is, given to me by lurflurf,: mv' + f(v ) + s(u) = F(t), t > 0, u(0) = U0, v (0) = V0 where v=u' For the record the equation was: mu'' + f(u' ) + s(u) = F(t), t > 0, u(0) = U0, u' (0) = V0 . The Attempt at a Solution def rhs(u, t)...
31. ### Can anyone help me solve this equation system ?

x³+y³=1 x²y+2xy²+y³=2
32. ### Differential equation system, got stuck in a physics problem

hi guys, I'm solving a pretty complex problem: calculating a trajectory of a charged particle in a custom magnetic field. I arrive to the point where this very nice equation system blocks my way :P http://ramses728.altervista.org/img/phys.jpg hope you can help me somehow