How to Solve Nonlinear Equations in Physics?

  • Thread starter dm164
  • Start date
  • Tags
    Nonlinear
In summary, the conversation discusses a formula being derived from physics and the equation y = exp(1/(xy)) *(b - 1/x) being solved for y and x = exp(1/x) being solved for x. One person suggests looking up the Lambert W function for help with solving this type of problem and provides a link to the Wikipedia page with relevant information.
  • #1
dm164
21
1
I have been deriving a formula from physics. Anyway, I came across a equation that goes by the form y = exp(1/(xy)) *(b - 1/x) solve for y ; b is a constant there are other constants but i removed them for simplicity. or x = exp(1/x) solve for x , it is a function

Could some one at least point me to what I should look up to figure how to solve this kind of problem.
 
Physics news on Phys.org
  • #3
Perfect thanks
 

FAQ: How to Solve Nonlinear Equations in Physics?

How do you solve a nonlinear equation?

Solving a nonlinear equation involves finding the values of the variable that satisfy the equation. This can be done through various methods such as substitution, elimination, and graphing. The specific method used will depend on the complexity of the equation.

What makes a equation nonlinear?

An equation is considered nonlinear when the variable appears with a power other than 1, or when it is multiplied or divided by another variable.

Can all nonlinear equations be solved?

No, not all nonlinear equations have a solution. Some equations may have complex or imaginary solutions, while others may have infinitely many solutions.

What are the challenges of solving nonlinear equations?

The main challenge of solving nonlinear equations is that they do not follow a set of simple rules like linear equations do. Additionally, they may have multiple solutions or no solutions at all, making it difficult to determine the correct solution.

How can I check if my solution to a nonlinear equation is correct?

The best way to check if your solution to a nonlinear equation is correct is to substitute the values back into the original equation and see if it satisfies the equation. You can also use a graphing calculator to visualize the equation and its solutions.

Similar threads

I Nonlinear Least Squares or OLS for Nonlinear Models?
Replies
7
Views
2K
Nonlinear Equation Fitting: Exploring Solutions
Replies
6
Views
905
I Linear Models vs Nonlinear Models
Replies
22
Views
3K
A Solving for a steady-state (passive cable equation)
Replies
4
Views
225
I Solving an Integral using Feyman's trick
Replies
8
Views
1K
I A simple equation with simple solution - how to solve it?
Replies
12
Views
2K
I Solution To Photon Trajectory Equation
Replies
10
Views
795
A How do I solve y*exp(y)=[constant] for J using the Lambert W function?
Replies
2
Views
976
B New to Nonlinear Diff. Equations? Ask Here!
Replies
11
Views
2K
I Finding the derivative of a characteristic function
Replies
5
Views
2K

Hot Threads

Recent Insights

Back
Top