0

Guest

Courses New

How do we find solution to differential equations using integrating factor? after finding IF what do we do with it? i dont get this part properly.

How do we find solution to differential equations using integrating factor?
after finding IF what do we do with it?
i dont get this part properly.

Grade:12

2 Answers

Anish Singhal
askIITians Faculty 1192 Points
6 years ago
555-607_Untitled.png
Deepak Kumar Shringi
askIITians Faculty 4404 Points
6 years ago

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

Think You Can Provide A Better Answer ?

Other Related Questions on Differential Calculus

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More