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Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b in $\frac{x}{a}+\frac{y}{b}=1$
Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b in $\frac{x}{a}+\frac{y}{b}=1$
CBSE | Class 12 | Differential Equations | Exercise 9.3 | NCERT
Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b in $\frac{x}{a}+\frac{y}{b}=1$

Equation of the family of curves   ……….(i)

Differentiating both sides two times w.r.t.

  

  ……….(ii)

Again differentiating w.r.t. , 

Multiplying both sides by   , which the required differential equation.

i

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