Differential Equations True or False

1.	Which of the following is not a differential equation? -> True False
2.	Determine the order of the differential equation f ⁴(x) + f ⁽²⁾(x) = 5 - f ⁽³⁾(x) + f (x) -> 2 True False
3.	A solution to a differential equation is -> the highest derivative in that differential equation. True False
4.	The function y = x² is a solution to which one of the following differential equations? -> 2y = y' True False
5.	Determine which of the following functions is NOT a solution to the d.e. f ⁽²⁾(x) = -f (x). -> f (x) = -e^{- x} True False
6.	Determine which of the following functions is a solution to the IVP y'' = y and y(0) = 1. -> y = e^-x True False
7.	Determine which of the following is the particular solution to the IVP y" = 8. -> y = 4x² - 8x + 1 True False
8.	Determine which differential equation best represents the following English statement: The monkey population is increasing at a rate of 1 percent. -> True False
9.	Julianna spends 20 per week. If M represents Julianna's money and t represents time measured in years, which differential equation best describes this situation? -> True False
10.	A family of rabbits has a birth rate of 25 percent. Every year 10 rabbits die. Which of the following differential equations best models this situation? -> True False

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