How do I solve a transcendental equation?

  • Context: Undergrad 
  • Thread starter Thread starter shourie.j
  • Start date Start date
  • Tags Tags
    Transcendental equation
Click For Summary
SUMMARY

To solve a transcendental equation, such as ex = 2, one must identify the specific function involved and utilize its inverse. The solution for this particular equation is x = ln(2). There is no universal method for solving all transcendental equations; each case requires individual analysis based on the function's characteristics.

PREREQUISITES
  • Understanding of transcendental functions
  • Knowledge of logarithmic functions and their properties
  • Familiarity with inverse functions
  • Basic calculus concepts
NEXT STEPS
  • Research methods for solving specific transcendental equations
  • Explore the properties of inverse functions in detail
  • Learn about numerical methods for approximating solutions to transcendental equations
  • Study the applications of transcendental equations in real-world scenarios
USEFUL FOR

Mathematicians, engineering students, and anyone interested in solving complex equations involving transcendental functions.

shourie.j
Messages
2
Reaction score
0
Can anyone tell me how can i find a solution to a transcendental equation?
Any link, where i will get methods to solve them?

Thank you..
 
Physics news on Phys.org
shourie.j said:
Can anyone tell me how can i find a solution to a transcendental equation?

$${}$$

In general, no. One needs to look at each case separately.


Any link, where i will get methods to solve them?

$${}$$

Google it according to your particular transcendental function(s).

DonAntonio



Thank you..
 
e^x= 2 is a transcendental equation. Its solution is x= ln(2). There is no generic method of solving all transcendental equations- you have to know the inverse of the transcendental function.
 

Similar threads

Undergrad Proof of a fact about real numbers - transcendental and algebraic
  • · Replies 7 ·
Replies
7
Views
2K
What is the Correct Approach to Solving the Deuteron Transcendental Equation?
  • · Replies 14 ·
Replies
14
Views
2K
Undergrad Is e^pi a unique transcendental, or perhaps not transcendental?
  • · Replies 1 ·
Replies
1
Views
2K
A question about Stewart's calculus -- Contains answers to odd numbered questions?
  • · Replies 8 ·
Replies
8
Views
3K
Graduate Base changing for transcendental numbers
  • · Replies 6 ·
Replies
6
Views
5K
Mathematica Find all values of E for a transcendental equation
  • · Replies 3 ·
Replies
3
Views
3K
Calculus Comparing "Calculus" and "Early Transcendentals" Textbooks for MST124
  • · Replies 22 ·
Replies
22
Views
12K
Graduate How can Lambert's equation be used to solve for x?
  • · Replies 2 ·
Replies
2
Views
1K
Graduate Is there a closed form solution to Kepler's problem?
  • · Replies 3 ·
Replies
3
Views
2K
Proving pi^2 is transcendental over Q
  • · Replies 8 ·
Replies
8
Views
6K