Check sibling questions

Ex 9.4, 14 - Find particular solution: dy/dx = y tan x, y = 1 - Ex 9.4

Ex 9.4, 14 - Chapter 9 Class 12 Differential Equations - Part 2

Get live Maths 1-on-1 Classs - Class 6 to 12


Transcript

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

Ask a doubt
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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.