By DORON ZEILBERGER
These are the handouts I gave out when I taught "Introduction to Differential Equations", aka DiffEqs aka "Calc4".
Lecture 2: Method of Integrating Factors for First-Order Linear Equations
Lecture 4: Existence and Uniqueness of First-Order Diff.Eqs.
Lecture 7: Numerical Solutions of Ordinary Differential Equations
Lecture 8: Homogeneous Second-Order Differential Equations With Constant Coefficients
Lecture 9: Solutions of Linear Homogeneous Equations and the Wronskian
Lecture 12: NonHomogeneous (Linear) Second-Order Diff. Eqs.; Undetermined Coefficients
Lecture 14: General Theory of n-th Order Linear Differential Equations
Lecture 15: Homogeneous Equations With Constant Coefficients
Lecture 16: NonHomogeneous (Linear) Higher-Order Diff. Eqs.; Undetermined Coefficients
Lecture 17: Introducing Systems of First Order Linear Equations; Review of Matrices
Lecture 19: Homogeneous Linear Systems with Constant Coefficients