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

Last updated at December 16, 2024 by

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

Remove Ads Share on WhatsApp

Transcript

Ex 9.4, 16 A homogeneous differential equation of the from š‘‘š‘„/š‘‘š‘¦=ā„Ž(š‘„/š‘¦) can be solved by substitution. (A) š‘¦=š‘£š‘„ (B) š‘£=š‘¦š‘„ (C) š‘„=š‘£š‘¦ (D) š‘„=š‘£ Given š‘‘š‘„/š‘‘š‘¦ = h(š‘„/š‘¦) Here, h(š‘„/š‘¦) is a function of š‘„/š‘¦ So, we will make the substitution x = vy So, the correct answer is (c) Note: An example of function h(š‘„/š‘¦) can be h(š‘„/š‘¦) = (š‘’^(š‘„/š‘¦)āˆ’1)/(š‘„/š‘¦) So, we solve it by substituting x = vy

Davneet Singh's photo - Co-founder, Teachoo

Made by

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