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
Homework
Lecture 4: Existence and Uniqueness of First-Order Diff.Eqs.
Homework
Lecture 7: Numerical Solutions of Ordinary Differential Equations
Homework
Lecture 8: Homogeneous Second-Order Differential Equations With Constant Coefficients
Homework
Lecture 9: Solutions of Linear Homogeneous Equations and the Wronskian
Homework
Lecture 10: Solving Second-Order Homogeneous
Linear Diff.Eqs. With Constant Coefficients When the Characteristic Equation Has Complex Roots
Homework
Lecture 11:
Solving Second-Order HomogeneousLinear Diff.Eqs. With Constant Coefficients When the Characteristic Equation Has Repeated Roots and
Reduction of Order
Homework
Lecture 12:
NonHomogeneous (Linear) Second-Order Diff. Eqs.; Undetermined Coefficients
Homework
Lecture 14: General Theory of n-th Order Linear Differential Equations
Homework
Lecture 15: Homogeneous Equations With Constant Coefficients
Homework
Lecture 16: NonHomogeneous (Linear) Higher-Order Diff. Eqs.; Undetermined Coefficients
Homework
Lecture 17: Introducing Systems of First Order Linear Equations; Review of Matrices
Homework
Lecture 18: Systems of First-Order Linear Equations
Homework
Lecture 19: Homogeneous Linear Systems with Constant Coefficients
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Lecture 20: The Case of Complex Roots When Solving Homogeneous Linear Systems
with Constant Coefficients
Homework
Lecture 21:
The Case of Repeated Roots When Solving Homogeneous Linear Systems with Constant Coefficients
Homework
Answers to all homework problems