Coordinate Method @drpeyam
Coordinate Method  @drpeyam
Uploaded February 2025 | Updated September 2026, 1 week ago
Coordinate Method

We solve first order PDE using the coordinate method, instead of the method of characteristics. This boils down to finding clever variables and then using the chain rule to transform a complicated partial differential equation into one that is much easier to solve. In fact we will end up getting one of the simple PDE that we have covered before! This is a must-see for any multivariable calculus lover, enjoy!

Simple PDE: youtu.be/zMWXg-NIdJw

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Coordinate MethodSolving the wave equation using the coordinate methodYou can do that? logarithm of a rotationVariation of ParametersHow many tangents to this ellipse? (no calculus)Laplace Transform Examplesnumber comparison: 57^8 vs 62^72 to a matrixnot your AVERAGE Putnam limit (2021 Putnam A2)Types of second order PDEa quasi-Pythagorean identityThis integral will have you on the floor 🤣🤣
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Coordinate Method

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