Finding the Inverse Fourier Transform for a Complex Function

mdb
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How do find the inverse Fourier Transform for the following using the transform pairs and properties?

X(jw) = 1 / (2 - w^2 + j3w)

Thanks!
 
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My advice would be to rearrange in the form:
<br /> \frac{a}{b-(c+dw)^{2}} <br />
There should be general inverses for that.
 
Thread 'Direction Fields and Isoclines'

Thread 'Direction Fields and Isoclines'

I sketched the isoclines for $$ m=-1,0,1,2 $$. Since both $$ \frac{dy}{dx} $$ and $$ D_{y} \frac{dy}{dx} $$ are continuous on the square region R defined by $$ -4\leq x \leq 4, -4 \leq y \leq 4 $$ the existence and uniqueness theorem guarantees that if we pick a point in the interior that lies on an isocline there will be a unique differentiable function (solution) passing through that point. I understand that a solution exists but I unsure how to actually sketch it. For example, consider a...
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