User Manual

Chapter 5: Differential Equation Graph Application 22
0503
1. On the Differential Equation Editor window, tap [Type] - [2nd (Phase Plane)] or B.
2. Xw-Yw
3. Tap O to draw the phase plane.
0504
1. Activate the Differential Equation Editor window and then tap the [IC] tab.
• This displays the initial condition editor.
2. Input (
xi, yi) = (1, 1) on the initial condition editor.
3. Tap O.
• This graphs the solution curve and overlays it on the phase plane of
x’ = x,
y’ = −y.
0505
1. On the Differential Equation Editor window, tap [Type] - [Nth (No Field)] or 9.
2. Input
y’’ = x − y by dividing it into two first order differential equations. If
we let y1 = y and y2 = y’, we see that y1’ = y’ = y2 and y2’ = y’’ = x − y1.
Ycw
X-Ybw
3. Tap the [IC] tab to display the initial condition editor.
4. Input (xi, y1i, y2i) = (0, −1, 0), (0, 0, 0), (0, 1, 0).
5. Tap O.