# Worksheet: Basics of Differential Equations

In this worksheet, we will practice classifying differential equations into ordinary or partial and linear or nonlinear and identifying the order of the differential equations.

Q1:

Which of the following relationships is an ordinary differential equation?

• A
• B
• C
• D

Q2:

Which of the following relationships is an ordinary differential equation?

• A
• B
• C
• D

Q3:

Is the differential equation linear?

• Ayes
• Bno

Q4:

Determine the order of the following differential equation:

Q5:

Is the function a solution to the differential equation ?

• AYes
• BNo

Q6:

Is the function a solution to the differential equation ?

• ANo
• BYes

Q7:

Is the function a solution to the differential equation ?

• AYes
• BNo

Q8:

Is the function a solution to the differential equation ?

• ANo
• BYes

Q9:

Is the function a solution to the differential equation ?

• AYes
• BNo

Q10:

Is the function a solution to the differential equation ?

• ANo
• BYes

Q11:

Which of the following is a solution to the differential equation ?

• A
• B
• C
• D
• E

Q12:

Which of the following differential equations has the solution ?

• A
• B
• C
• D
• E

Q13:

Find the value of such that is a linear differential equation.

• A
• B5
• C0
• D
• E7

Q14:

Which of the following differential equations is of the second order?

• A
• B
• C
• D
• E

Q15:

Determine the order of the differential equation .