**- DSP log - http://www.dsplog.com -**

GATE-2012 ECE Q12 (math)

Posted By __Krishna Sankar__ On December 28, 2012 @ 7:02 am In __GATE__ | __No Comments__

Question 12 on math from GATE (Graduate Aptitude Test in Engineering) 2012 Electronics and Communication Engineering paper.

From the product rule ^{[1]} used to find the derivative of product of two or more functions,

Applying this to the above equation, we can be seen that,

Plugging this in and integrating both sides,

.

Using the initial condition , we can solve for the unknown , i.e.

.

So the solution to the differential equation is,

**Based on the above, the right choice is (D) **.

** **

[1] GATE Examination Question Papers [Previous Years] from Indian Institute of Technology, Madras http://gate.iitm.ac.in/gateqps/2012/ec.pdf ^{[2]}

[2] Wiki entry on Product rule ^{[1]}

Article printed from DSP log: **http://www.dsplog.com**

URL to article: **http://www.dsplog.com/2012/12/28/gate-2012-ece-q12-math/**

URLs in this post:

[1] product rule: **http://en.wikipedia.org/wiki/Product_rule**

[2] http://gate.iitm.ac.in/gateqps/2012/ec.pdf: **http://gate.iitm.ac.in/gateqps/2012/ec.pdf**

[3] click here to SUBSCRIBE : **http://www.feedburner.com/fb/a/emailverifySubmit?feedId=1348583&loc=en_US**

Click here to print.

Copyright © 2007-2012 dspLog.com. All rights reserved. This article may not be reused in any fashion without written permission from http://www.dspLog.com.