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Check answer please! simple diff eq'n problem involving eulers method!

  1. Sep 21, 2013 #1
    1. The problem statement, all variables and given/known data

    dy/dt = -4t+2
    y(0) = 1
    find y(1)=?

    2. Relevant equations



    3. The attempt at a solution

    so first i solve the diff equation:
    dy/dt = -4t + 2
    dy=(-4t+2)dt
    ∫dy=∫(-4t+2)dt
    y(t) = -2t^(2)+2t+C
    y(0)=1
    1=-2(0)^(2)+2(0)+C_1
    1=C_1

    y(t) = -2t^(2)+2t+1

    now i solve for y(1)..

    y(1)=-2(1)^(2)+2(1)+1
    y(1)=1


    is this correct??
     
  2. jcsd
  3. Sep 21, 2013 #2

    arildno

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