18.03 | Spring 2010 | Undergraduate

Differential Equations

Assignments

Each homework assignment has two parts:

Part I of each problem set consists of problems which are either rather routine or for which solutions are available in the back of the book, or in 18.03 Notes and Exercises by Prof. Mattuck.

Part II contains more challenging and novel problems. They will help you develop an understanding of the material.

[EP] refers to a problem in the course textbook: Edwards, C., and D. Penney. Elementary Differential Equations with Boundary Value Problems. 6th ed. Upper Saddle River, NJ: Prentice Hall, 2003. ISBN: 9780136006138

[Notes] refers to an exercise in the “18.03 Notes and Exercises” written by Prof. Mattuck.

Most problem sets also contains one problem based around one the “Mathlets.”

LEC # ASSIGNMENTS SOLUTIONS
5

Problem set 1 (PDF)

Related Mathlet: Isoclines

Problem set 1: Part II solutions (PDF)
8

Problem set 2 (PDF)

Related Mathlet: Complex exponential

Problem set 2: Part II solutions (PDF)
14

Problem set 3: First half (PDF)

Related Mathlet: Phase lines

Problem set 3: Second Half (PDF)

Related Mathlet: Damped vibrations

Problem set 3: Part II solutions (PDF)
17

Problem set 4 (PDF)

Related Mathlets: Forced damped vibrations, Amplitude and phase: Second order I

Problem set 4: Part II solutions (PDF)
23

Problem set 5: First half (PDF)

Related Mathlet: Series RLC circuit

Problem set 5: Second half (PDF)

Related Mathlet: Fourier coefficients

Problem set 5: Part II solutions (PDF)
26 Problem set 6 (PDF) Problem set 6: Part II solutions (PDF)
29 Problem set 7 (PDF) Problem set 7: Part II solutions (PDF)
34

Problem set 8: First half (PDF)

Related Mathlet: Amplitude response: Pole diagram

Problem set 8: Second half (PDF)

Related Mathlet: Linear phase portrait: Matrix entry

Problem set 8: Part II solutions (PDF)
37

Problem set 9 (PDF)

Related Mathlet: Linear phase portrait: Matrix entry

Problem set 9: Solutions (PDF)

Course Info

Departments
As Taught In
Spring 2010
Learning Resource Types
Lecture Videos
Simulations
Lecture Notes
Problem Sets with Solutions