Say I had a PDE given by
$$\frac{\partial u}{\partial t} + \frac{\partial^4u}{\partial x^2} + u = f(x)$$
Can I use Fourier transforms to solve this as I would be able to with a second-order problem?
Say I had a PDE given by
$$\frac{\partial u}{\partial t} + \frac{\partial^4u}{\partial x^2} + u = f(x)$$
Can I use Fourier transforms to solve this as I would be able to with a second-order problem?
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