title: plotting conditional distribution in python
body: <p>I'm new to python and trying to plot a gaussian distribution having the function defined as </p>
  
  <p><img src="https://i.stack.imgur.com/FRTVI.png" alt="enter image description here"></p>
  
  <p>I plotted normal distribution P(x,y) and it's giving correct output. code and output are below.</p>
  
  <p>Code : 
  <a href="https://i.stack.imgur.com/EDj2b.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/EDj2b.png" alt="enter image description here"></a></p>
  
  <p>Output : 
  <a href="https://i.stack.imgur.com/bhkR5.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/bhkR5.png" alt="enter image description here"></a></p>
  
  <p>Now I need to plot a conditional distribution <a href="https://i.stack.imgur.com/6uWUl.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/6uWUl.png" alt="enter image description here"></a>  and the output should like <a href="https://i.stack.imgur.com/rHFQD.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/rHFQD.png" alt="enter image description here"></a>. to do this I need to define a boundary condition for the equation. I tried to define a boundary condition but it's not working. the code which I tried is <a href="https://i.stack.imgur.com/Eip3O.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/Eip3O.png" alt="enter image description here"></a>  but it's giving wrong output
  <a href="https://i.stack.imgur.com/ynXZv.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/ynXZv.png" alt="enter image description here"></a>  please help me how to plot the same.</p>
  
  <p>Thanks,</p>