14-2-3

Graphing a First Order Differential Equation

Inputting Initial Conditions and Graphing the Solution Curves of a First Order Differential Equation

You can use the procedure in this section to overlay, onto the slope field, solution curves of the first order differential equation input on the [DiffEq] tab for given initial conditions.

Example: To input the first order differential equation y’ = y2 – x, draw its slope field, and then graph three solution curves for the initial conditions (xi, yi) = (0,0), (0,0.5), (0,1)

uClassPad Operation

(1)Use the procedure under “Inputting a First Order Differential Equation and Drawing a Slope Field” on page 14-2-1 to draw the slope field for y’ = y2 – x.

(2)Activate the Differential Equation Editor window and then tap the [IC] tab.

• This displays the initial condition editor.

(3)On the initial condition editor, input the following initial conditions: (xi, yi) = (0,0), (0,0.5), (0,1). Perform the following operations.

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(4)Tap O.

• This graphs the three solution curves over the slope field of y’ = y2 – x.

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[Edit] - [Redraw]

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