User manual - Chapter 3 Differential Equations

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3-2-2

Differential Equations of the First Order

Example To graph the solutions of the separable equation dy/dx = y

–1,

x0 = 0, y0 = {0, 1}, –5

< x

< 5, h = 0.1.

Use the following V-Window settings.

Xmin = –6.3, Xmax = 6.3, Xscale = 1

Ymin = –3.1, Ymax = 3.1, Yscale = 1 (initial defaults)

Procedure

1 m DIFF EQ

2 1(1st)b(Separ)

3bw

a-(Y)Mc-bw

4aw

!*( { )a,b!/( } )w

5 5(SET)b(Param)

6 -fw

7 a.bwi

8 5(SET)c(Output)4(INIT)i

9 !K(V-Window)1(INIT)i

0 6(CALC)

Result Screen

#To graph a family of solutions, enter a list of

initial conditions.

(x0, y0) = (0,0)

(

x0, y0) = (0,1)

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