Major Theorems and Formulas of Laplace Transform Theory
To prepare for test 3/final exam, work the problems on this sample test:
Here is an older version:
Direction Fields---Section 1.3
Approximation Method of Euler----Section 1.4
Separable Equations---Section 2.2
Exact Equations---Section 2.4
Linear Equations---Section 2.3
Special Integrating Factors---Section 2.5
Detailed Solutions to Practice Test 1
Test 1
Compartmental Analysis---Section 3.2
The General Solution of Linear Homog. Equations---Section 4.2
Auxiliary Equation with Complex Roots---Section 4.3
Nonhomogeneous Equations--Section 4.4
Superposition Principle---Section 4.5
Detailed Solutions to Practice Test 2
Test 2
Forced Mechanical Vibrations---Section 4.10
Definition of the Laplace Transform---Section 7.2
Properties of the Laplace Transform---Section 7.3
Inverse Laplace Transform---Section 7.4
Solving Initial Value Problems---Section 7.5
Transforms of Discontinuous Functions---Section 7.6
Here is an older version of practice test 3:
Practice Test 3
Detailed Solutions to this older version of Practice Test 3
Test 3
Sample Test 3/Final Exam
Sample Final Exam
Solved Homework Problems
Solutions and Initial Value Problems----Section 1.2
Substitutions and Bernoulli's Equation---Section 2.6
Free Mechanical Vibrations---Section 4.9