Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Solving second order diff equ

  1. Oct 4, 2011 #1
    1. The problem statement, all variables and given/known data
    I have got the diff equ problem solved out to


    2. Relevant equations
    now I have to solve for the IVP and the values are y(0)=1, yprime(0)=-1

    3. The attempt at a solution
    I believe for the first part I just plug in the y(0)=1 which results in the e^-t dropping out
    coming out to be C=1 but I am not 100% on it.

    Then I am assuming I take the derivative and solve for the next value.
    Last edited: Oct 4, 2011
  2. jcsd
  3. Oct 4, 2011 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    Are you sure those shouldn't be two different constants, as in y(t) = C1 e-t cos(4t) + C2 e-t sin(4t)

    Then, you found that C1 = 1.

    Now find y'(x) , then set y'(0) = -1 & solve for C2 .
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook