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Ex 9.3, 1 - Form differential equation: x/a + y/b = 1 - Formation of Differntial equation when general solution given

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  1. Chapter 9 Class 12 Differential Equations
  2. Serial order wise
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Ex 9.3, 1 Form a differential equation representing the given family of curves by eliminating arbitrary constants 𝑎 and 𝑏. 𝑥﷮𝑎﷯+ 𝑦﷮𝑏﷯=1 Here , we Eliminate Constant by Differentiating both sides w.r.t.x ∴ 𝑥﷮𝑎﷯+ 𝑦﷮𝑏﷯=1 Differentiating Both Sides w.r.t. 𝑥 1﷮𝑎﷯+ 1﷮𝑏﷯. 𝑑𝑦﷮𝑑𝑥﷯=0 1﷮𝑏﷯. 𝑑𝑦﷮𝑑𝑥﷯= −1﷮ 𝑎﷯ 𝑑𝑦﷮𝑑𝑥﷯= −𝑏﷮ 𝑎﷯ Again Differentiating Both Sides w.r.t. 𝑥 𝑑﷮2﷯𝑦﷮𝑑 𝑥﷮2﷯﷯=0 ∴ Differential Equation Is :- 𝒚﷮′′﷯=𝟎

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