Ex 9.4, 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 Given 𝑑𝑥/𝑑𝑦 = h(𝑥/𝑦) Here, h(𝑥/𝑦) is a function of 𝑥/𝑦 So, we will make the substitution x = vy So, the correct answer is (c) Note: An example of function h(𝑥/𝑦) can be h(𝑥/𝑦) = (𝑒^(𝑥/𝑦)−1)/(𝑥/𝑦) So, we solve it by substituting x = vy

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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, Social Science, Physics, Chemistry, Computer Science at Teachoo.