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:

                        

Please describe what is INTEGRATION FACTOR in a linear differential equation. Please explain with a worked example. Thanks.

9 years ago

Answers : (1)

vikas askiitian expert
509 Points
							

example => dy/dx + y/x = x...................1

 

this equation is similar to dy/dx + y(f(x)) = g(x)            .....................2

 

these types of differential equations are solved by following steps

 

at first calculate I.F (integration factor)

I.F = ef(x)dx

solution of this equation 2 will be now

y(IF) = g(x)IF dx                     ........................3

 

for equation 1 , IF = ef(x)dx = e(1/x)dx = elnx = x

solution will be

yx = x2dx

yx = x3/3 + c

if u still having problem then ask

9 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