Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! ðŸ™‚ https://www.patreon.com/patrickjmt !! Differential Equations – Basic Idea of What It Means to be a Solution. Ok, nothing heavy at all here! What does it mean to be a solution of a differential equation? Let’s looks and see! Ya just take a derivative, plug it in, see if it works! (Basically!)

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Visit http://ilectureonline.com for more math and science lectures! In this video I will derive the position with-respect-to time equation of a simple-harmonic-motion with spring problem using the partial derivative of Lagrangian equation. Next video in this series can be seen at: https://youtu.be/enzFAid9fxE

Realizing that the determinant of a 2×2 matrix is equal to the area of the parallelogram defined by the column vectors of the matrix Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra-determinant-as-scaling-factor?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra-simpler-4×4-determinant?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize…

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! ðŸ™‚ https://www.patreon.com/patrickjmt !! Completing the Square to Solve Quadratic Equations: More Examples – 2

For the example at 5:07, the equation of the vector field has the x equation and y equation flipped. It should be F=(-yx + x^3, 6y-9x) This video aims to introduce green’s theorem, which relates a line integral with a double integral. Line Integrals: https://youtu.be/dnGDmZynvYY Divergence and Curl by 3b1b: https://youtu.be/rB83DpBJQsE Follow Me! https://instagram.com/vcubingx https://github.com/vivek3141…