Understanding Differential Equations Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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Question 1 1. Solve the following differential equation for y=f(x) (assume that y is always positive).

Question 2 2. Solve the following differential equation for c=f(a).

Question 3 3. Solve the following differential equation for y=f(x).

Question 4 4. Solve the following differential equation for y=f(x) (assume that y is always positive).

Question 5 5. Solve the following differential equation for y=f(x).

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Question 6 6. One application of systems of linear differential equations is

Question 7 7. After we find the eigenvalues of a system, we usually look for the

Question 8 8. The eigenvalues may be complex conjugates, repeated or

Question 9 9. Systems of linear differential equations may be solved using which methods?

Question 10 10. A solution to a system of linear differential equations will have unknown constants. What do we use to find the value of these constants?

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Question 11 11. If q = g(p), then the derivative g' measures:

Question 12 12. What is differential calculus?

Question 13 13. What is the difference between average velocity and instantaneous velocity?

Question 14 14. For f(x) = 3x^2 + x - 1, find the average rate of change on the interval [1, 3].

Question 15 15. The average rate of change formula is most similar to which formula from algebra?

Understanding Differential Equations Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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