MA 320 Differential Equations

Videos


First order equations
Introduction to differentrial equations
Separable differentrial equations
Linear and Bernoulli's differential equations
Exact equations
Homogeneous equations
Autonomous equations
Modeling with first order differential equations, part 1
Modeling with first order differential equations, part 2
The first assignment questions
First order differential equations in Matlab
Euler's method in Matlab
Exam 1 material review

Second and higher order equations
Second order linear equations with constant coefficients
Higher order linear equations with constant coefficients
Variation of parameters
Undetermined coefficients, part 1
Undetermined coefficients, part 2
Applications of second order differential equations
The second assignment questions
Second order differential equations in Matlab
Exam 2 material review

Laplace Transform
Introduction to the Laplace transform
The inverse Laplace transform
Step, box, and impulse functions
Examples with ramp and impulse functions
Convolutions. Examples with box function and convolution
Solving systems of equations using the Laplace transform
The third assignment questions
Exam 3 material review

Systems of differential equations
Introduction to systems. Equilibrium points. Nodes and spirals
Saddle and center
Applications of systems. Predator-prey and hunter models
Practice problems. Systems in Matlab
Stability and type analysis
The second project questions
Systems with infinitely many critical points
More examples with systems

Review for the final exam.
Systems review
Review of the exam 1 to 3 material
Final exams message