Differential EquationHard
Question
The differential equations of all conics whose centre lie at the origin is of order :
Options
A.2
B.3
C.4
D.none of these
Solution
ax2 + 2hxy + by2 + c = 0
∵ f = 0, g = 0
then x2 + 2
xy + 
y2 + c/a = 0
x2 + 2xy + β y2 + γ = 0
order : 3
∵ f = 0, g = 0
then x2 + 2
xy + y2 + c/a = 0x2 + 2xy + β y2 + γ = 0
order : 3
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