Question: This is to be solved using linear Algebra, topic covered is Systems of Differential Equations 2. The rabbit and wolf populations interact according to r'

This is to be solved using linear Algebra, topic covered is "Systems of Differential Equations"

2. The rabbit and wolf populations interact according to r' = 6r - 2w, and w' = 2r + w. In other words, the rabbits breed very fast but lose some to wolf predation, and the wolves breed only modestly but better when there are rabbits. Suppose there are initially 30 rabbits and 30 wolves. Find formulas for the populations r(t) and w(t) of each species over time. After a long time, what is the ratio of rabbits to wolves

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