Example 1
Determine if the equation is a differential equation.
f (2)(x) + f (x) = 7x
Example 2
Determine if the equation is a differential equation.
Example 3
Determine if the equation is a differential equation.
x2 + f 2(x) = 0
Example 4
Determine if the equation is a differential equation.
x2 + y2 = 4xy
Example 5
Determine if the equation is a differential equation.
Example 6
Determine if the equation is a differential equation.
y + y2 + y3 = x
Example 7
Determine if the equation is a differential equation.
Example 8
Determine if the equation is a differential equation.
y' + 2y'' = 3 – x
Example 9
Determine the order of the differential equation.
Example 10
Determine the order of the differential equation.
y" + y' – y = 0
Example 11
Determine the order of the differential equation.
f '(x) = x2 + 3x + 5
Example 12
Determine the order of the differential equation.
f (x) – f 3(x) + f (2) = 7x
Example 13
Determine the order of the differential equation.