Differential EquationHard
Question
The differential equation of all conics whose axes coincide with the axes of coordinates is of order
Options
A.2
B.3
C.4
D.1
Solution
P(x, y) = ax2 + by2 + 2hxy + 2gx + 2fy + c = 0
⇒ h = g = f = 0
conic : ax2 + by2 + c = 0 ⇒ x2 +
= 0 order = 2
⇒ h = g = f = 0
conic : ax2 + by2 + c = 0 ⇒ x2 +
= 0 order = 2 Create a free account to view solution
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