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Resources tagged with Differential equations similar to Mechanical Mindgames:

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Broad Topics > Pre-Calculus and Calculus > Differential equations

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Modelling Assumptions in Mechanics

Stage: 5

An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile.

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Earth Orbit

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Follow in the steps of Newton and find the path that the earth follows around the sun.

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It's Only a Minus Sign

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Solve these differential equations to see how a minus sign can change the answer

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Reaction Rates

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Explore the possibilities for reaction rates versus concentrations with this non-linear differential equation

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The Real Hydrogen Atom

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms

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Weekly Challenge 42: What's My Equation?

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Can you find the differential equations giving rise to these famous solutions?

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Taking Trigonometry Series-ly

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Look at the advanced way of viewing sin and cos through their power series.

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Predator - Prey Systems

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

See how differential equations might be used to make a realistic model of a system containing predators and their prey.

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The Not-so-simple Pendulum 1

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

See how the motion of the simple pendulum is not-so-simple after all.

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Bessel's Equation

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Get further into power series using the fascinating Bessel's equation.

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The Not-so-simple Pendulum 2

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Things are roughened up and friction is now added to the approximate simple pendulum

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Differential Equation Matcher

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Match the descriptions of physical processes to these differential equations.

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Bird-brained

Stage: 5 Challenge Level: Challenge Level:1

How many eggs should a bird lay to maximise the number of chicks that will hatch? An introduction to optimisation.


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