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Differential Equations


This introductory course covers methods of solving of linear and non-linear ordinary differential equations, systems of linear differential equations, boundary value problems. Methods include operators, undetermined coefficients, variation of parameters, and Laplace transforms.


Textbooks, calculators and solutions manuals are available in the Learning Commons.

Assistance is available on a one-on-one or small group basis.

Please bring all class notes and handouts with you when asking for assistance.




 Textbook Information


​Hardcopies of this textbook are available for use at the Calculus tables in the Learning Commons.

MAP 2302
A First Course in Differential Equations, 5e, Zill​



The Learning Commons offers handouts to help students understand important concepts in differential equations.​




​Print the accompanying notes in the right column and follow along as TCC instructor Doug Jones explains various topics and works examples.

Video Title​ ​Accompanying notes

Introduction - Why Do Differential Equations?


Verify Solutions


Initial Value Problems


Separable Variables


Homogeneous Equations of Degree n


Exact Equations


Folley's Method of Integration by Parts


Linear Equations


Application - Brine Concentration


Linear Independence


Constructing a Second Solution


Homogeneous Linear Equations with Constant Coefficients

Case 1: Auxiliary Equation has distinct real roots


Case 2: Auxiliary Equation has repeated real roots


Case 3: Auxiliary Equation has complex conjugate roots


 Other Useful Links


These are additional resources that our staff and students have found helpful.

  • SOS Mathematics is a free resource for math review material from Algebra to Differential Equations! It is the perfect study site for high school, college students and adult learners. Get help to do your homework, refresh your memory, or prepare for a test. Browse the more than 2,500 math pages filled with short and easy-to-understand explanations.


  • Doug Jones' Webpage - Lots of interesting biographical material and links for the inquiring mind. There are also classroom notes and practice tests from Calculus, Precalculus, Trigonometry, Differential Equations and Logic. Doug is a TCC mathematics instructor.

Contact Information

For more information contact the Learning Commons by phone (850) 201-8193 or e-mail

7:30 a.m. - 7:30 p.m. Mon - Thu
7:30 a.m. - 5:00 p.m. Fri

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Students can get additional help by accessing Smarthinking via Canvas
TCC strives to make all materials accessible to all individuals. Please contact (850) 201-8193 for materials in alternative format.

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