badge image

Enroll For Free Now & Improve Your Performance.

×
User Icon
User Icon
User Icon
User Icon
User Icon

Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
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: 12

                        

dy/dx +(1/x) tan y = (1/x 2 )tany.siny

11 years ago

Answers : (1)

Ramesh V
70 Points
							

dy/dx +(1/x)  tan y = (1/x2)tany.siny

divide the eqn. by tan y.sin y

so eqn comes to be

(1/tan y.sin y)*dy/dx + 1/ x.sin y = 1/x2

put 1/sin y = t

(-cosy / sin2y)*dy/dx = dt/dx

on substituting,we get

-dt/dx + t/x = 1/x2
 or dt/dx - t/x = -1/x2

which is of form dy/dx +P(x).y = Q(x)  with P(x) = -1/x and  Q(x) = -1/x2

solution is t.eintegral P(x) = integral ( Q(x)*eintegral P(x))dx +C

soln is:

t .e -lnx-1/x2 .e -lnx dx

t/x = 1/2x2 +C

i.e., 1/x. sin y = 1/(2x2) +C

11 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