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Algebra
Geometry
Calculus
Calculus notes
Differential Equations
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A nonlinear ODE that's missing an independent variable
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A tricky 2nd-order-linear-homogeneous-ODE
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Variation of parameters
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A nonlinear 2nd-order ODE
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An inexact ODE solved two different ways
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A linear ODE solved two ways: using a Laplace transform and using the method of Undetermined Coefficients
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A 1st-order nonhomogenous ODE solved by using an integrating factor
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A story problem involving a lake with changing volume and salt concentrations
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A somewhat tricky linear IVP
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Finding a one-parameter family of solutions
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Using the Residue Theorem to solve an IVP
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Finding a one-parameter family of solutions and plotting the direction field (Maple worksheet)
Boundary Value Problems
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Three simple boundary value problems demonstrating some of the types of solutions
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Solution to a heat equation scenario with animations (Maple worksheet)
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Solving a regular Sturm-Liouville problem and using it to approximate a function
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Eigensolutions to a regular Sturm-Liouville problem
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Using an orthogonal series to approximate a function