Thread: first order differentials - u(x, y)

1. 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)

2. Originally Posted by thermalwarrior
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:

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

Then:

$\displaystyle \frac{d{\bold{X}}}{dt}={pX_1X_2-qX_1 \brack rX_1X_2-sX_2}$

RonL