HSC Science (Electronics) 12th Board ExamMaharashtra State Board
Account
It's free!

User


Login
Create free account


      Forgot password?
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

Solution for If  y=√(sinx+√(sinx+√(sinx+.....∞ ))), then show that dy/dx=cosx/(2y-1) - HSC Science (Electronics) 12th Board Exam - Mathematics and Statistics

Question

If   `y=sqrt(sinx+sqrt(sinx+sqrt(sinx+..... oo))),` then show that `dy/dx=cosx/(2y-1)`

Solution

`y=sqrt(sinx+sqrt(sinx+sqrt(sinx+..... oo)))`

Let  `y=sqrt(sinx+y)`

`y^2=sinx+y `

Differentiat ing w.r.t.x,

`2y.dy/dx=cosx+dy/dx`

`dy/dx=cosx/(2y-1)`

 

  Is there an error in this question or solution?

APPEARS IN

 2014-2015 (March) (with solutions)
Question 4.2.2 | 2 marks
Solution for question: If  y=√(sinx+√(sinx+√(sinx+.....∞ ))), then show that dy/dx=cosx/(2y-1) concept: General and Particular Solutions of a Differential Equation. For the courses HSC Science (Electronics), HSC Science (Computer Science), HSC Science (General) , HSC Arts
S