We have changed our privacy policy. In addition, we use cookies on our website for various purposes. By continuing on our website, you consent to our use of cookies. You can learn about our practices by reading our privacy policy.

# 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.