2nd order differential equations

List of videos

Ten videos, covering it all

1. Auxiliary equations (m-equations) with two different real roots (complementary functions like Ae^{ax}+Be^{bx})

2. m-equations with a double root (complementary functions like Ae^{cx}+Bxe^{cx})

3. m-equations with imaginary and complex roots (complementary functions like Ae^{aix}+Be^{bix}, better written as C cos ax + D sin ax, or e^{bx}(C cos ax + D sin ax))

4. Particular integrals (like λx + μ)

5. Substitutions (where you can’t solve the equation straight off, but you say y=xu, or x=e^{u}, or something, and get rid of y, or get rid of x, to get an equation with u which you can solve)

A series of video tutorials on 1st order differential equations

Videos on 1st order differential equations

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