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Wayne Wu @masterwu
@masterwu
59
Virtual Math Tutor
Followers
437
Following
56
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Resource Credits
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Used
Location
Brisbane, Australia
Website
https://www.youtube.com/user/MasterWuMaths
Created
2017-08-15 14:50
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masterwu
steemstem
2018-12-07 13:35
[DTube] Reduction Formula for Integral of ∫csc^n(x)dx
I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. In this video, we derive a formula for the integration of the powers of cosecant of
$ 3.240
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masterwu
steemstem
2018-12-04 12:30
Second Order ODE's: Undamped forced oscillations: Beats
In my previous post, we discussed the principles of mechanical resonance. In this post, we'll look into another vibratory characteristic called "beats", which can also be described by our undamped,
$ 28.189
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masterwu
steemstem
2018-11-30 05:50
Second Order ODE's: Undamped forced oscillations: Resonance
Figure 1. Sound shatters a wine glass(source: YouTube, creative commons licence) In engineering and acoustics, second order differential equations can give us a fascinating insight into mechanical vibrations.
masterwu
steemstem
2018-11-26 07:36
Modelling Forced Oscillations with Second Order ODE's
Figure 1 below shows a schematic of the mass-spring-damper model to include an applied external force, F. Figure 1.Mass-Spring-Damper system with external force In post #5 of this series on solving 2nd
masterwu
steemstem
2018-11-22 09:30
Solving Non-homogeneous ODE's: Method of Undetermined Coefficients Part 4
Let's work through another example on how to solve non-homogeneous 2nd order differential equations. This is our final example before we look at practical applications of this method of solving ODE's.
masterwu
steemstem
2018-11-05 06:47
Solving Non-homogeneous ODE's: Method of Undetermined Coefficients Part 3
In this post, we'll work through yet another example of the method of undetermined coefficients for solving non-homogeneous ordinary differential equations. Figure 1. The particular solution to equation
masterwu
steemstem
2018-11-01 05:16
Solving Non-homogeneous ODE's: Method of Undetermined Coefficients Part 2
In the last post, we went through the process of finding the solution to a 2nd order nonhomogeneous differential equation with the non-zero term r(x) as a polynomial. In this post we'll work through an
masterwu
steemstem
2018-10-29 04:13
Solving Non-homogeneous ODE's: Method of Undetermined Coefficients Part 1
In my last post, I stated something rather paradoxical about solving non-homogeneous differential equations: ...to find a solution to the non-homogeneous equation, we need to find a solution to the
masterwu
steemstem
2018-06-14 09:24
Non-homogeneous Differential Equations
Generally, a non-homogeneous, 2nd order, linear, ordinary differential equation can be written in the form... Equation (1) is deemed to be non-homogeneous because the term on the right-hand side of the
masterwu
steemstem
2018-06-05 03:28
Perpendicular Distance from a Point to a Straight Line: Derivation of the Formula
In this post, we will use a bit of plane geometry and algebra to derive the formula for the perpendicular distance from a point to a line. Now, the process I'm going to go through with you is not the most
masterwu
steemstem
2018-05-22 14:40
[DTube] Integral of ∫cos^4(x)dx using the Reduction Formula
In this video, we work through the process of solving the integral of ∫cos^4(x)dx. The main aim is to reduce the power down to unity. We can do this either by using the half-angle formula like so... cos^4(x)
masterwu
steemstem
2018-05-13 09:01
Modelling Car Suspension with ODE's: Damped Free Oscillations Part 3
In the last few posts, we've been studying the mathematical modelling of car suspension systems (i.e. mass-damper-spring systems). So far, we've explored the under damped, and critically damped settings
masterwu
steemstem
2018-05-09 12:25
[DTube] Reduction Formula for Integral of ∫tan^n(x)dx
I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. In this video, we work through the derivation of the reduction formula for the integral
masterwu
steemstem
2018-05-09 12:18
[DTube] Algebra: Linear Equations: Solving 5 - 5x/2 = 2x + 7
I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. In this video, we go through the process of solving the linear equation: There are
masterwu
steemstem
2018-05-06 08:13
[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 blockchain. In this video, we look at how to solve the equation: This is problem where we will
masterwu
steemstem
2018-05-03 15:02
[DTube] Integral of ∫tan^3(x)dx
I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. In this video, we will solve the integral of tan^3(x)... The first step is to reserve
masterwu
steemstem
2018-05-02 12:27
[DTube] How to Integrate ln(x)
I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. In this video I demonstrate how to find the integral or antiderivative of the natural
masterwu
steemstem
2018-04-29 11:38
[DTube] How do I integrate tan^2(x)?
I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. In this video, I demonstrate how to find the anti-derivative or the integral of tan2(x).
masterwu
steemstem
2018-04-29 05:53
Modelling Car Suspension with ODE's: Damped Free Oscillations Part 2
In the mathematical modelling of the mass-damper-spring system (Figure 1), we've explored the underdamped case in the previous post. Figure 1. Schematic of the mass-damper-spring system (adapted from Wikimedia
masterwu
steemstem
2018-04-27 00:46
[DTube] Integral of tan(x)
I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. Integration is always more difficult than differentiation as the rules for integration
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