Formation of a Differential Equation from a General Solution
Form the diff...
Question
Form the differential equation by eliminating arbitrary constants from the relation Ax2+By2=1 or x2a2+y2b2=1.
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Solution
Given: Equation of ellipse⇒x2a2+y2b2=1
Concept:
Here we see that there are two arbitrary constants(a and b) in equation of ellipse thus we have to get a differential equation of 2nd order for eliminating all constants.
Solution:
Differentiating given equation with respect to x, we get: