8. On a trip, a student drove 40 miles per hour for 2 hours and then drove 30 miles per hour for 3
2 answers:
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Step-by-step explanation:
Let x = the number of years since the first year and let y = the total number of plants.
Roses: y = 5 + 2x
Tulips: y = 20 – 3x
You can use elimination to solve.
y = 5 + 2x
(-)y = 20 – 3x
0 = -15 + 5x
15 = 5x
3 = x
This means that 3 years after the first year, the number of rose bushes equals the number of tulip plants.
The graphs appear to
intersect at (3, 11) which verifies that x=3
The term "autonomous" refers to an ordinary differential equation that relates the derivatives of the dependent variable as a function *only* of the dependent variable. In other words, the ODE doesn't explicitly depend on the independent variable.
Examples:
is autonomous
is *not* autonomous
Examples: