Ex 9.4, 14 For each of the differential equations in Exercises 11 to 14, find a particular solution satisfying the given condition : 𝑑𝑦﷮𝑑𝑥﷯=𝑦 tan﷮ ﷯𝑥;𝑦=1 When 𝑥=0 𝑑𝑦﷮𝑑𝑥﷯=𝑦 tan﷮ ﷯x 𝑑𝑦﷮𝑦﷯= tan x dx﷮ ﷯ Integrating both sides ﷮﷮ 𝑑𝑦﷮𝑦﷯﷯ = ﷮﷮ tan﷮𝑥 𝑑𝑥﷯﷯ log 𝑦﷯ = log sec﷮𝑥﷯﷯+ log﷮𝑐﷯ log 𝑦﷯ = log (c sec x) y = c sec x Put x = 0 and y = 1 1 = C Sec 0 1 = C Put value of C in (1) y = 1 × sec x y = sec x

Next: Ex 9.4, 15 Important → Ask a doubt

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Courses

Interesting

Popular