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Math Help - first order differentials - u(x, y)

  1. #1
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    Cool first order differentials - u(x, y)

    if i have equations:

    x'=pxy - qx

    y'=rxy - sy

    where p = 0.001, q=0.1, r=0.001, s=0.06


    how would these be placed into a vector u(x,y) where u(x,y) = dx/dt and x(t)=(x(t), y(t))??

    This is to go into a computer program(MathCad)
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by thermalwarrior View Post
    if i have equations:

    x'=pxy - qx

    y'=rxy - sy

    where p = 0.001, q=0.1, r=0.001, s=0.06


    how would these be placed into a vector u(x,y) where u(x,y) = dx/dt and x(t)=(x(t), y(t))??

    This is to go into a computer program(MathCad)
    Put:

    {\bold{X}}={X_1 \brack X_2}={x \brack y}

    Then:

     <br />
\frac{d{\bold{X}}}{dt}={pX_1X_2-qX_1 \brack rX_1X_2-sX_2}<br />

    RonL
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