The differential equation representing the family of ellipses having foci either on the
x-axis or on the y-axis, centre at the origin and passing through the point (0, 3) is :
As we have learned
Formation of Differential Equations -
A differential equation can be derived from its equation by the process of differentiation and other algebraical process of elimination
-
Formation of Differential Equations -
Let y and x be the dependent and the independent variables respectively. The equation of (x, y, c) = 0 , is family of curves
- wherein
C is the arbitrary Constant
Equation of ellipse :
pass through (0,3)
; differentiating we get
Option 1)
This is incorrect
Option 2)
This is incorrect
Option 3)
This is incorrect
Option 4)
This is correct
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