External Links: Special First-Order Equations and Substitution

Title Summary
First-Order: Bernoulli Differential Equations Paul's On-Line Notes on Bernoulli differential equations.
First-Order: Substitutions Paul's On-Line Notes on using substitutions to solve first-order equations.
They treat what we call "dilation invariant equations" for the case p = 1 , calling them "homogeneous equations".
This name is fairly common, but we avoid it in order avoid confusion with homogeneous linear equations.
They do not consider the case when p is not 1.
They also treat what we call "linear augument equations" by two examples,
but fail to discuss these equations in general.
First-Order Sunstitution Methods Professor Mattuck (MIT video) solves some special equations by substitution.
Specifically, he solves a Bernoulli equation and a dilation homogeneous (the case p = 1 ) equation.
Khan Academy First-Order Homogeneous Equations Khan Academy video on just one of the special equations covered in our notes.
Khan Academy First-Order Homogeneous Equations 2 Khan Academy video showing another example of the same type.
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