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Form a Differential Equation Representing the Given Family of Curves by Eliminating Arbitrary Constants a and B. X/A + Y/B = 1 - Mathematics

Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.

`x/a + y/b = 1`

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Solution

`x/a + y/b = 1`

Differentiating both sides of the given equation with respect to x, we get:

Hence, the required differential equation of the given curve is y" = 0

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APPEARS IN

NCERT Class 12 Maths
Chapter 9 Differential Equations
Q 1 | Page 391
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