Question: what is the formula for finding the fourier transform of f(x)?
Answer: Example Find the Fourier transform of f (x) = e−x2/2. √2ω)2/4 = e−ω2/2. Find the general solution to the ODE y′′ - y = e−x2/2. The corresponding homogeneous equation is y′′h - yh = 0 ⇒ yh = c1ex + c2e−x .