IIT JAM
   Top Resources
profile-img
Vanshika posted an Question
July 26, 2020 • 20:30 pm 30 points
  • IIT JAM
  • Physics (PH)

Plz explain me in detail how this xe^2x come from ??..mine is ... 1(3e^2x)/-1-d

The given differential equation, dy dy - 2y 3e dx dx can be written in the form of auxiliary equation i.e m2 m- 2 0 m =-1, 2 C.F C.e- +Ce2 -D-2 se = xex 1 and P.A. general solution, y C.F. + P.I y C.ex + C.ea+ xe Now y(0) = 0 and y(0) -2 Putting x =0 in (1) y(0) = C, +C, +0 = 0 i.e. and puttingx= 0 in (3), y(0) =-C, +2C, + 1 + C, +0 = 0 C,+C, = 0 y=-C.er+2C.e2+2xe+ e ea [differentiating (1) fdifferentiating (1 - 2 =- C, + 2C, +1 - C, + 2C, =- 3 Solving (2) and (4), C = 1, C,-1 -1(1) becomes, y= e-e+ xex tact Useose

2 Answer(s) Answer Now
  • 0 Likes
  • 7 Comments
  • 0 Shares
  • Mahak

    see in the given pi when you will put x=2 in denominator the denominator will become zero so apply L hospital rule in denomitor then denominator will be 2D-1 and the solve pi

  • comment-profile-img>
    Dhairya sharma best-answer

    for P.I. if we directly put D=2 then denominator become 0 which is not acceptable so we differentiate denominator and put extra x in numerator and it's a method

    eduncle-logo-app

    👍

    eduncle-logo-app

    see this as well

    eduncle-logo-app

    and everything else in putting values are correct i mean boundary conditions.

    eduncle-logo-app

    for doubt plz ask dear

    eduncle-logo-app

    for doubt plz ask

    eduncle-logo-app

    👍

    eduncle-logo-app

    👍

whatsapp-btn

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/-