MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
Grade:
        

If y=squareroot(x/a)+squareroot(a/x) , then show that 2xydy/dx=(x/a-a/x)

8 years ago

Answers : (3)

melvin davis
6 Points
							

y^2 = x/a+a/x+2  ====================             a xy^2 = x^2+a^2      =====================           a2xydy/dx+ay^2 = 2x

2xydy/dx = x/a+x/a - y^2  ====================          x/a+x/a-x/a-a/x-2  =====================     x/a-a/x-2 = 2xydy/dx

so there may be any mistake in that qusetion

8 years ago
vikas askiitian expert
509 Points
							

y = (x/a)1/2 + (a/x)1/2 ...............1


dy/dx = d/dx(x/a)1/2 + d/dx(a/x)


         =[(1/a)1/2  d/dx (x1/2) ]+ [ a1/2 d/dx (1/x)1/2 ]


         =(1/a)1/2 (1/2) (1/x)1/2  +  a1/2(-1/2) (1/x)3/2


multiplying this eq by 2xy


2xydy/dx = (1/a)1/2 .x1/2. y  -   a1/2 .(1/x)1/2 y


             = y[ (x/a)1/2 - (a/x)1/2]         ..............2


from eq 1 putting y in eq 2


             =[(x/a)1/2 + (a/x)1/2].[(x/a)1/2-(a/x)1/2]


             =[x/a - a/x]

8 years ago
Surbhi Kumari
29 Points
							

FIRST  FIND dy/dx.

MULTIPLY IT BY TWO.

ALSO Y=(x+a)/sqrt(ax).......1

NOW IF GO IN REVERSE THEN U HAVE TO PROVE THAT

2dy/dx=(x^2-a^2)/ayx^2

        now replace  y by equ 1

on simplifiation u would get the expression same as 2dy/dx 

 

8 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 51 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details