- #1
izen
- 50
- 0
Homework Statement
Homework Equations
The Attempt at a Solution
The answer is y(t) = t^{4}+\frac{t^{6}}{30}
Don't know what to do next any advices please
Laplace transform solve integral equation
- Thread starter izen
- Start date
Click For Summary
SUMMARY
The discussion centers on solving the integral equation using the Laplace transform, specifically addressing the equation L{y} = L{t^4} + L{y}L{sin(t)}. The solution derived is y(t) = t^4 + t^6/30. Participants provided insights on algebraically manipulating the equation to isolate L{y}, leading to a clearer understanding of the transformation process.
PREREQUISITES- Understanding of Laplace transforms and their properties
- Familiarity with algebraic manipulation of equations
- Knowledge of basic calculus, particularly integration
- Experience with functions such as sin(t) and polynomial expressions
- Study the properties of Laplace transforms in detail
- Learn how to apply the inverse Laplace transform effectively
- Explore examples of solving differential equations using Laplace transforms
- Investigate the application of Laplace transforms in engineering problems
Students studying differential equations, engineers applying mathematical concepts to real-world problems, and anyone interested in mastering the Laplace transform technique.
The answer is y(t) = t^{4}+\frac{t^{6}}{30}
Don't know what to do next any advices please
- #2
lurflurf
Homework Helper
- 2,459
- 159
solve algebraically for L{y}
L{y}=L{t^4}+L{y}L{sin(t)}
L{y}=L{t^4}+L{y}L{sin(t)}
- #3
izen
- 50
- 0
lurflurf said:
u meant put L{y} to the same side and then reverse transform? I'm try that way but still didnt get that answer
- #4
izen
- 50
- 0
lurflurf said:
Thanks lurflurf I got it now :)
Similar threads
- · Replies 1 ·
- · Replies 10 ·
- · Replies 1 ·
- · Replies 3 ·
- · Replies 8 ·
- · Replies 2 ·