Separable Differential Equations 

? Maplesoft, a division of Waterloo Maple Inc., 2007 

Introduction 

This application is one of a collection of examples teaching Calculus with Maple. These applications use Clickable Calculus? methods to solve problems interactively. Steps are given at every stage of the solution, and many are illustrated using short video clips.  Click on the buttons to watch the videos. 

This application is reusable. Modify the problem, then click the !!! button on the toolbar to re-execute the document to solve the new problem. 

Problem Statement 

Obtain the general solution of the differential equation . 

Solution 

Step	Result
Enter the differential equation.    The single apostrophe can be used to enter y'(x). Use spaces for multiplication.      Separate the differential equation.    Using the equation label, divide the differential equation by both   and .        To integrate both sides with respect to first change the differential equation to an expression.    Right-click, Move to Left.        Right-click, Left Hand Side.           Right-click, Integrate w.r.t. .	(3.1)                 (3.2)     (3.3)     (3.4)     (3.5)
To include a constant of integration, use the equation label to reference the left side of the equation, and set it equal to a constant, say, .    To isolate , right click and select Solve>Isolate Expression for>    To replace with, say, use the evaluation icon from the Expression palette, referencing the equation containing by its equation label.	(3.6)     (3.7)     (3.8)

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