Lecture Notes
- Lecture 1 – Introduction to Differential Equations
- Lecture 2 – Motion
- Lecture 3 – Initial Values and Boundary Values
- Lecture 4 – Separation of Variables
- Lecture 5 – First-order Linear Equations
- Lecture 6 – Exact Equations
- Lecture 7 – Integrating Factors
- Lecture 8 – Some Substitions
- Lecture 9 – Reduction of Order
- Lecture 10 – Applications: Motion
- Lecture 11 – Applications: Growth and Decay
- Lecture 12 – Solutions and Picard Iteration
- Lecture 13 – Second-order Linear Equations
- Lecture 14 – Second-order Linear Equations: Solutions
- Lecture 15 – Constant-coefficient Equations
- Lecture 16 – Undetermined Coefficients
- Lecture 17 – More Undetermined Coefficients
- Lecture 18 – Variation of Parameters
- Lecture 19 – Euler’s Equation
- Lecture 20 – Free Vibrations
- Lecture 21 – Forced Vibrations
- Lecture 22 – Power Series Solutions
- Lecture 23 – Frobenius Solutions
- Lecture 24 – Systems of Equations
- Lecture 25 – Constant-coefficient Linear Systems
- Lecture 26 – Repeated Eigenvalues
- Lecture 27 – Laplace Transforms
- Lecture 28 – Properties of Laplace Transforms
- Lecture 29 – Laplace Transforms: Solutions
- Lecture 30 – Convolutions
- Lecture 31 – Discontinuous Forces
- Lecture 32 – Point Sources