Recent content by ondine4
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Undergrad Using Fourier Transform to Solve ODE with Initial Conditions
Thank you :) yes i know that i have to add the solution of the associated homogeneus equation to find the complete solution..I wanted to use ft to solve this ode because i haven't studied laplace transform yet, thanks for the advice!- ondine4
- Post #7
- Forum: Differential Equations
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Undergrad Using Fourier Transform to Solve ODE with Initial Conditions
Thank you very much, this is a very simple and smart method to calculate some Fourier transforms :) i will keep that in mind.- ondine4
- Post #5
- Forum: Differential Equations
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Undergrad Using Fourier Transform to Solve ODE with Initial Conditions
First of all thank you for the answer :) My problem is that i don't know why the inverse Fourier tranform of -1/w^2 is tsgn(t). using the definition of inverse Fourier transform I have to calculate an integral from -infinity to +infinity of a function that has some issue in w=0. I can use...- ondine4
- Post #3
- Forum: Differential Equations
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Undergrad Using Fourier Transform to Solve ODE with Initial Conditions
Hi, let's take this ode: y''(t) = f(t),y(0)=0, y'(0)=0. using the FT it becomes: -w^2 Y(w) = F(w) Y(w)=( -1/w^2 )F(w) so i can say that -1/w^2 is the Fourier transorm of the green's function(let's call it G(w)). then y(t) = g(t) * f(t) where g(t) = F^-1 (G(w)) (inverse Fourier transorm) how can...- ondine4
- Thread
- Fourier Fourier transform Ode Transform
- Replies: 6
- Forum: Differential Equations