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How to solve ODE using fourier transform
- Thread starter mds62
- Start date
D
Deleted member 4993
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Please make sure that you were NOT instructed to use Laplace Transform.y"+6y'+9y = e^-3x, y(0)=0, y'(0)=0
How to solve this equation using fourier transform?
And where to apply the initial conditions?
Please help
Please show us what you have tried and exactly where you are stuck.
Please follow the rules of posting in this forum, as enunciated at:
Please share your work/thoughts about this problem.
The question specifically mentioned fourier transforms. And it was in the chapter of fourier transforms only.Please make sure that you were NOT instructed to use Laplace Transform.
Please show us what you have tried and exactly where you are stuck.
Please follow the rules of posting in this forum, as enunciated at:
Please share your work/thoughts about this problem.
I took fourier transform on both aides and found F(y) as a function of omega. I am then stuck as i dont know how to proceed and idk where to substitute the initial values.
Apply Fourier Transform for each term in the equation.y"+6y'+9y = e^-3x, y(0)=0, y'(0)=0
How to solve this equation using fourier transform?
And where to apply the initial conditions?
Please help
\(\displaystyle \mathcal{F}[y''] + \mathcal{F}[6y'] + \mathcal{F}[9y] = \mathcal{F}[e^{-3x}]\)
What do you get?
After we find the general solution, we can satisfy the initial conditions.
D
Deleted member 4993
Guest
Please read:The question specifically mentioned fourier transforms. And it was in the chapter of fourier transforms only.
I took fourier transform on both aides and found F(y) as a function of omega. I am then stuck as i dont know how to proceed and idk where to substitute the initial values.
specially the second section. Work the example problems. If you still have questions, please come back and referencing the posted article.
Example 1, page 4, is a good start for the OP to understand the technique!Please read:
specially the second section. Work the example problems. If you still have questions, please come back and referencing the posted article.
Even if he/she follows my post #4, he/she will eventually get the solution.