Ex 9.4, 16 (MCQ) - Chapter 9 Class 12 Differential Equations

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Ex 9.4, 16 (MCQ) - A homogeneous differential equation dx/dy = h(x/y) - Ex 9.4

part 2 - Ex 9.4, 16 (MCQ) - Ex 9.4 - Serial order wise - Chapter 9 Class 12 Differential Equations

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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

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