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Resources tagged with Differential equations similar to The Real Hydrogen Atom:

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Broad Topics > Pre-Calculus and Calculus > Differential equations

The Real Hydrogen Atom

Stage: 5 Challenge Level:

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

The Not-so-simple Pendulum 2

Stage: 5 Challenge Level:

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

The Not-so-simple Pendulum 1

Stage: 5 Challenge Level:

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

Reaction Rates

Stage: 5 Challenge Level:

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

It's Only a Minus Sign

Stage: 5 Challenge Level:

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

Taking Trigonometry Series-ly

Stage: 5 Challenge Level:

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

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.

Bessel's Equation

Stage: 5 Challenge Level:

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

Earth Orbit

Stage: 5 Challenge Level:

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

Weekly Challenge 42: What's My Equation?

Stage: 5 Challenge Level:

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

Differential Equation Matcher

Stage: 5 Challenge Level:

Match the descriptions of physical processes to these differential equations.

Predator - Prey Systems

Stage: 5 Challenge Level:

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

Bird-brained

Stage: 5 Challenge Level:

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