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  1. Chapter 9 Class 12 Differential Equations
  2. Serial order wise


Ex 9.5, 16 A homogeneous differential equation of the from ๐‘‘๐‘ฅ/๐‘‘๐‘ฆ=โ„Ž(๐‘ฅ/๐‘ฆ) can be solved by substitution. (A) ๐‘ฆ=๐‘ฃ๐‘ฅ (B) ๐‘ฃ=๐‘ฆ๐‘ฅ (C) ๐‘ฅ=๐‘ฃ๐‘ฆ (D) ๐‘ฅ=๐‘ฃ Given ๐‘‘๐‘ฅ/๐‘‘๐‘ฆ = h(๐‘ฅ/๐‘ฆ) Here, h(๐‘ฅ/๐‘ฆ) is a function of ๐‘ฅ/๐‘ฆ So, we will make the substitution x = vy โˆด (C) is the correct answer. Note: An example of function h(๐‘ฅ/๐‘ฆ) can be h(๐‘ฅ/๐‘ฆ) = (๐‘’^(๐‘ฅ/๐‘ฆ)โˆ’1)/(๐‘ฅ/๐‘ฆ) So, we solve it by substituting x = vy

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.