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Differential Equations

Differential Equations

Differential Equations and Their Solutions Exercises

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.

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