BlogHide Resteemsmasterwu (58)in steemstem • 9 hours agosteemCreated with Sketch.[DTube] Lines and Planes: Vector and Dot product forms: Linear AlgebraI'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem…masterwu (58)in steemstem • 3 days agosteemCreated with Sketch.[DTube] Newton's Law of Cooling - First Order Differential EquationsIn this video, we derive Newton's Law of Cooling and use it to determine how fast a bottle of water cools when it is…masterwu (58)in steemstem • 4 days agosteemCreated with Sketch.[DTube] Linear systems - 3 Intersecting Planes - No unique solutionsI'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem…masterwu (58)in steemstem • 6 days agosteemCreated with Sketch.[DTube] Mixing Salt and Water - First Order Differential EquationsI'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem…masterwu (58)in steemstem • 10 days ago[DTube] Reduction Formula for Integral of ∫csc^n(x)dxI'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem…masterwu (58)in steemstem • 13 days agosteemCreated with Sketch.Second Order ODE's: Undamped forced oscillations: BeatsIn my previous post, we discussed the principles of mechanical resonance. In this post, we'll look into another…masterwu (58)in steemstem • 17 days agosteemCreated with Sketch.Second Order ODE's: Undamped forced oscillations: ResonanceFigure 1. Sound shatters a wine glass(source: YouTube, creative commons licence) In engineering and acoustics…masterwu (58)in steemstem • 21 days agosteemCreated with Sketch.Modelling Forced Oscillations with Second Order ODE'sFigure 1 below shows a schematic of the mass-spring-damper model to include an applied external force, F. Figure…masterwu (58)in steemstem • 25 days agosteemCreated with Sketch.Solving Non-homogeneous ODE's: Method of Undetermined Coefficients Part 4Let's work through another example on how to solve non-homogeneous 2nd order differential equations. This is our final…masterwu (58)in steemstem • last monthsteemCreated with Sketch.Solving Non-homogeneous ODE's: Method of Undetermined Coefficients Part 3In this post, we'll work through yet another example of the method of undetermined coefficients for solving…masterwu (58)in steemstem • 2 months agosteemCreated with Sketch.Solving Non-homogeneous ODE's: Method of Undetermined Coefficients Part 2In the last post, we went through the process of finding the solution to a 2nd order nonhomogeneous differential…masterwu (58)in steemstem • 2 months agosteemCreated with Sketch.Solving Non-homogeneous ODE's: Method of Undetermined Coefficients Part 1In my last post, I stated something rather paradoxical about solving non-homogeneous differential equations: ...to…masterwu (58)in steemstem • 6 months agoNon-homogeneous Differential EquationsGenerally, a non-homogeneous, 2nd order, linear, ordinary differential equation can be written in the form...…masterwu (58)in steemstem • 6 months agoPerpendicular Distance from a Point to a Straight Line: Derivation of the FormulaIn this post, we will use a bit of plane geometry and algebra to derive the formula for the perpendicular distance…masterwu (58)in steemstem • 7 months ago[DTube] Integral of ∫cos^4(x)dx using the Reduction FormulaIn this video, we work through the process of solving the integral of ∫cos^4(x)dx. The main aim is to reduce the…masterwu (58)in steemstem • 7 months agoModelling Car Suspension with ODE's: Damped Free Oscillations Part 3In the last few posts, we've been studying the mathematical modelling of car suspension systems (i.e.…masterwu (58)in steemstem • 7 months ago[DTube] Reduction Formula for Integral of ∫tan^n(x)dxI'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem…masterwu (58)in steemstem • 7 months ago[DTube] Algebra: Linear Equations: Solving 5 - 5x/2 = 2x + 7I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem…masterwu (58)in steemstem • 7 months ago[DTube] Solving 4^x = ∛128 (cubed-root of 128)I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem…masterwu (58)in steemstem • 7 months ago[DTube] Integral of ∫tan^3(x)dxI'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem…