Retreiving potential from Poisson's equation

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To retrieve the potential V from Poisson's equation, the primary method discussed is direct integration of the equation. However, the use of Green's function is also suggested as a more advanced approach. Participants note that Green's functions have not yet been covered in their coursework, prompting a request for alternative methods. The conversation emphasizes the importance of understanding the integration process in solving Poisson's equation. Overall, the focus is on finding effective techniques to derive V from the given equation.
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Homework Statement



What's the best way to retrieve V from Poisson's equation?


\nabla^{2} V = -\frac{1}{\epsilon_o}\rho

Homework Equations






\nabla^{2} V = -\frac{1}{\epsilon_o}\rho

The Attempt at a Solution



Integrated twice
 
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Besides direct integration I'd suggest you look at the greens function for the Poisson equation.
 
Thank you for the reply. But we have not done Green's function for Poisson equation yet. Any other clue?
 
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