Notes on Diffy Qs
Supported by the National Science Foundation.About this Course
This course is designed to be a companion to Notes on Diffy Qs: Differential Equations for Engineers and was prepared by the book's author, Jiri Lebl. The problem sets contain over 480 interactive, algorithmic problems and map directly to textbook sections.
480+ problems
Algorithmic, interactive problems powered by WeBWorK
Algorithmic, interactive problems powered by WeBWorK
Mapped to textbook topics
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Use asis or customize in minutes
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Problem Sets
 Edfinity Demo
 Sec 0.2: Introduction to differential equations
 Sec 0.3: Classification of differential equations
 Sec 1.1: Integrals as solutions
 Sec 1.2: Slope fields
 Sec 1.3: Separable equations
 Sec 1.4: Linear equations and the integrating factor
 Sec 1.5: Substitution
 Sec 1.6: Autonomous equations
 Sec 1.7: Numerical methods
 Sec 1.8: Exact equations
 Sec 1.9: First order linear PDE
 Sec 2.1: Second order linear ODEs
 Sec 2.2: Constant coefficient second order linear ODEs
 Sec 2.3: Higher order linear ODEs
 Sec 2.4: Mechanical vibrations
 Sec 2.5: Nonhomogeneous equations
 Sec 2.6: Forced oscillations and resonance
 Sec 3.1: Introduction to systems of ODEs
 Sec 3.2: Matrices and linear systems
 Sec 3.3: Linear systems of ODEs
 Sec 3.4: Eigenvalue method
 Sec 3.5: Two dimensional systems and their vector fields
 Sec 3.6: Second order systems and applications
 Sec 3.7: Multiple eigenvalues
 Sec 3.8: Matrix exponentials
 Sec 3.9: Nonhomogeneous systems
 Sec 4.1: Boundary value problems
 Sec 4.10: Dirichlet problem in the circle and the Poisson kernel
 Sec 4.2: The trigonometric series
 Sec 4.3: More on the Fourier series
 Sec 4.4: Sine and cosine series
 Sec 4.5: Applications of Fourier series
 Sec 4.6: PDEs, separation of variables, and the heat equation
 Sec 4.7: One dimensional wave equation
 Sec 4.8: D’Alembert solution of the wave equation
 Sec 4.9: Steady state temperature and the Laplacian
 Sec 5.1: SturmLiouville problems
 Sec 6.1: The Laplace transform
 Sec 6.2: Transforms of derivatives and ODEs
 Sec 6.3: Convolution
 Sec 6.4: Dirac delta and impulse response
 Sec 6.5: Solving PDEs with the Laplace transform
 Sec 7.1: Power series
 Sec 7.2: Series solutions of linear second order ODEs
 Sec 7.3: Singular points and the method of Frobenius
 Sec 8.1: Linearization, critical points, and equilibria
 Sec 8.2: Stability and classification of isolated critical points
 Sec 8.3: Applications of nonlinear systems
 Sec 8.4: Limit cycles
 Sec A.1: Vectors, mappings, and matrices
 Sec A.2: Matrix algebra
 Sec A.3: Elimination
 Sec A.4: Subspaces, dimension, and the kernel
 Sec A.5: Inner product and projections
 Sec A.6: Determinant
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