Check sibling questions

Misc 8 - Find equation of curve passing through (0, pi/4) - Miscellaneous

Misc 8 - Chapter 9 Class 12 Differential Equations - Part 2
Misc 8 - Chapter 9 Class 12 Differential Equations - Part 3

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


Transcript

Misc 8 Find the equation of the curve passing through the point 0 , 4 whose differential equation is sin cos + cos sin =0 sin x cos y dx + cos x sin y dy = 0 sin x cos y dx = cos x sin y dy sin cos = sin cos Integrating both sides sin cos = sin cos sin sin = sin sin = log = + log + log = c log . = Put values of u and v. log cos . cos = c Since the curve passes through 0, 4 Putting x = 0 and y = 4 in (1) log cos 0 .cos 4 = log 1. 1 2 = C = log 1 2 Substitute value of C in (2) log cos cos = log cos . cos = log 1 2 cos x. cos y = 1 2 cos y = 1 2 cos cos y =

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.