To determine whether a differentiable function is a solution to the differential equation

MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations

Problem

To determine whether a differentiable function

y=f(x)

is a solution to the differential equation

y''' + 4y = 0

, which of the following lists exactly the derivatives that must be computed? (a)

y'''

only (b)

y'

and

y''

(c)

y',\;y'',\text{ and }y'''

(d)

y',\;y'',\;y''',\text{ and }y^{(4)}