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Mmula

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Juliets love for Romeo cools in proportion to his love for her. Romeo's love for Juliet grows in proportion to her love for him.

When they first meet Romeo is immediately attracted to Juliet, but she is as yet indifferent.

Time is measured in days (0-50), and their love is measured on a scale from -5 to 5.

-5 : hatred

-2.5 disgust

0 - indifference

2.5 - attraction

5 - love

1. Model the situation by a 1st order linear system of differential equations with initial condition x(0)=2 , y(0)=0

Im looking at this site as a guide:

http://www.aw-bc.com/ide/idefiles/media/pdf/Documents/PART4/LABS/LAB18.PDF

but on part 1.1 I don't understand how they got the equations

dx/dt= -0.2y and dy/dt= 0.8x

any help would be greatly appreciated. thanks!