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**1. Homework Statement**

**2. Homework Equations**

Find a solution to the PDE

[tex] B P_{vv} - v P_x + (A v - F(x)) P_v + A P = 0 [/tex]

where A and B are constants, P = P(x,v)

**3. The Attempt at a Solution**

I have no idea how to even guess a solution to this.