Ex 9.4, 7 - Chapter 9 Class 12 Differential Equations
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Ex 9.4, 7 For each of the differential equations in Exercises 1 to 10, find the general solution : 𝑦 log𝑦 𝑑𝑥 −𝑥 𝑑𝑦=0 y log y dx − x dy = 0 y log y dx = x dy 𝑑𝑥𝑥 = 𝑑𝑦𝑦 log𝑦 Integrating both sides 𝑑𝑦𝑦 log𝑦= 𝑑𝑥𝑥 Put t = log y dt = 1𝑦 dy dy = y dt Hence, our equation becomes 𝑦 𝑑𝑡𝑦.𝑡= 𝑑𝑥𝑥 𝑑𝑡𝑡= 𝑑𝑥𝑥 log 𝑡 = log 𝑥 + log c Putting t = log y log (log y) = log x + log c log (log y) = log cx log y = cx y = ecx
Chapter 9 Class 12 Differential Equations
Serial order wise
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.