chapter2.page02

chapter2.page02 - • Select the entire expression and from...

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2 1. EXPLICITLY SOLVABLE FIRST ORDER DIFFERENTIAL EQUATIONS Note 0.1 . It is very important for students to know what variable represents an unknown function and what variable represents the in- dependent variable that the unknown function is defined with respect to. 1. Finding antiderivative using Mathcad You can use Mathcad to find both definite and indefinite integral. To access those two operators, you can bring up the popup menu, (See Figure 1. Calculus tool bar chapter 1 for how to bring up the Calculus popup menu.) Click on the R b a symbol to get the operator for definite integral and on the R symbol to get the operator for the indefinite operator. Then just fill in the place holders accordingly. For definite integral, hit = to get the value and for indefinite integral, you need either
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Unformatted text preview: • Select the entire expression and from the Symbolics menu following the menu item evaluate to the symbolically (Or [Shift][F9]). or • Hold down the [Ctrl] key and press the [.] (period) key. You can also access the integration operators by hot keys [Shift][F7] for definite integral and [Ctrl][I] for indefinite integral. The integration operators appear on the workplace as shown in the following diagram, Now lets see some examples. The first example is for finding definite integral. Example 1.1 . Find the definite integral R 3 ( x 5-e 3 x-sin (3 x )) dx. Solution At any blank space in the workplace of Mathcad , type [Shift][F7], that is hold the [Shift] key and press [F7] key to place the definite integration operator Z d...
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