Time management is very much important in IIT JAM. The eduncle test series for IIT JAM Mathematical Statistics helped me a lot in this portion. I am very thankful to the test series I bought from eduncle.
Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
Rajat Jain posted an Question
June 02, 2020 • 21:55 pm
![]()
50 points
50 points
- IIT JAM
- Mathematics (MA)
Zero everywhere, or nowhere zero. example: we know that y,(x) = cos x and y,(x) = sin x are solutions to y' +y = 0. since p o in this case, in light of abel's f
zero everywhere, or nowhere zero. Example: We know that y,(x) = cos x and y,(x) = sin x are solutions to y' +y = 0. Since p O in this case, in light of Abel's formula, we see VWronskian W(x) of y, and y, must be a constant. We confirm it by explicit computations: W(x) = cos x(sin x) - (cos x)' sin x = cos2 x + sin2 x = 1. Example: The functions y, (x) = ex and y,(x) = xe* are solutions to y" - 2y' + y = 0. Since p = ...(9) -2, we have W(x) = cex for some constant c. Explicit computation gives W(x) = e'(xe*) - (e*)'e* = e'(ex+ xe") - xe2x = ex, C = 1. .(10) sO
1 Answer(s)
Answer Now
- 0 Likes
- 1 Comments
- 0 Shares
Do You Want Better RANK in Your Exam?
Start Your Preparations with Eduncle’s FREE Study Material
- Updated Syllabus, Paper Pattern & Full Exam Details
- Sample Theory of Most Important Topic
- Model Test Paper with Detailed Solutions
- Last 5 Years Question Papers & Answers
Sign Up to Download FREE Study Material Worth Rs. 500/-
Priyadarshan Choursiya Best Answer
see attachment