Ex 9.5, 16 - A homogeneous dx/dy = h (x/y) by substitution - Solving homogeneous differential equation

  1. Chapter 9 Class 12 Differential Equations
  2. Serial order wise
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Ex 9.5, 16 A homogeneous differential equation of the from 𝑑𝑥﷮𝑑𝑦﷯=ℎ 𝑥﷮𝑦﷯﷯ can be solved by substitution. (A) 𝑦=𝑣𝑥 (B) 𝑣=𝑦𝑥 (C) 𝑥=𝑣𝑦 (D) 𝑥=𝑣 For solving a homogenous differential equation of the form 𝑑𝑥﷮𝑑𝑦﷯ = h 𝑥﷮𝑦﷯﷯ The substitution made is x = vy ∴ (C) is the correct answer.

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