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Ex 9.4, 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 So, the correct answer is (c) 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

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

About the Author

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo