# Separable Equations & Modeling

## Ordinary Differential Equations

Definition, including examples of order 0, 1, 2, and k. Homogeneous and inhomogeneous differential equations are defined.

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## Separable Differential Equations

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Step–by–step solutions to separable differential equations and initial value problems.

Three part question which involves setting up and solving separable differential equations.

## Applications of Differential Equations

Exponential growth as a differential equation. Worked examples of population growth, radioactive decay, and Newton's Law of Cooling.

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## Introduction to Differential Equations

Definition, including the order of a differential equation as well as linear, homogeneous, inhomogeneous, and separable differential equations.

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## Separable Ordinary Differential Equation

Solving a separable ordinary differential equation with a given initial condition.

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## Differential Equations

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Two questions, one of which involves solving a first order differential equation and the other of which involves setting up and solving a differential equation for the temperature of a fish being cooked.

Finding the solution to a first order differential equation.

Using separation of variables to find the solutions to a differential equation and describing the graphs of these solutions.

## Differential Equations: Separation of Variables

Eight questions which involve solving separable differential equations, including questions about Newton's Law of Cooling and about air pressure at different altitudes.

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## First Order ODE

Applet for plotting the solution to a specified differential equation of one variable with a specified initial condition, along with the approximations given by the left hand, trapezoid, and Runge–Kutta rules.

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