Question 1186122
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The term  "differential equation",  which you use in your post,  is  INCORRECT  and  IRRELEVANT  in this context.


The correct formulation is


<pre>
    Find the <U>standard form equation</U> representing all circles 
    with center on the line y = x and passing through the origin.
</pre>


Ask your professor/teacher or double check with your source, &nbsp;then re-post the corrected version to the forum.


Please do not post it to me personally.


Also, &nbsp;do not ask me to make drawings for you.

At this forum, &nbsp;we are not an art studio to make drawings on request of visitors.

All you need to make the drawing on your own, &nbsp;is a pen, page of paper, a straightedge and a compass.



Do not forget to post your &nbsp;"THANKS" &nbsp;to me for pointing deficiency in your post.