(Note - nothing is asked in question , so I am giving basic idea to approach these types of problems)
Solution:-
x2uxx+2xyuxy+uyy=u
On solving we got
A=x2B=2xyC=1
Now use
b2−4ac=0
To check it is which type of curve this is
4x2y2−4x2=04x2(y2−1)=0
⟹
x=0,y=+1,−1
After deciding the curve
Also we can find the colonial form.
As several things .
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