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Differential Equations: Give Me a Solution, I'll Give You an Answer Quiz
Think you’ve got your head wrapped around
? Put your knowledge to
the test. Good luck — the Stickman is counting on you!
Q. Which of the following is not a differential equation?
y' = 0 x 2 + xy = 6 – y 2 f (2)( x) = f( x) – x 2
Q. Determine the order of the differential equation f 4( x) + f (2)( x) = 5 - f (3)( x) + f ( x)
Q. A solution to a differential equation is
a function that satisfies that differential equation.
a number that satisfies that differential equation.
a function that satisfies that differential equation and some additional constraint.
the highest derivative in that differential equation.
y = x 2
is a solution to which one of the following differential equations?
y = y' y' = 2 y" y = xy'
y = xy'
Q. Determine which of the following functions is NOT a solution to the d.e. f (2)( x) = - f ( x).
f ( x) = 0 f ( x) = sin x f ( x) = -cos x f ( x) = - e - x
Q. Determine which of the following functions is a solution to the IVP y'' = y and y(0) = 1.
y = 0 y = 1 y = e - x y = - e - x
Q. Determine which of the following is the particular solution to the IVP y" = 8.
y = 4 x 2 + B x + C y = 4 x 2 - 8 x + 1 B = -8 and C = 1 y' = 8 x - 8
Determine which differential equation best represents the following English statement:
The monkey population is increasing at a rate of 1 percent.
Q. 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?
Q. 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?