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OS/2

Solve[a y + b c x + d, b]

d + c x a y}} b c x + a y}}

Fig. 10-6

Solve[a y + b c x + d, d]

For systems of equations, equations is a list of the form {equation1, equation2, . . .} and variables represents either a single variable or a list of several. Alternatively, equations may be represented by the individual equations separated by && (logical and).

Just as with MS Windows, there are many versions of OS/2 available, so for sake of brevity we'll focus on one, OS/2 Warp. OS/2 Warp Version 4 supports NetBEUI over TCP/IP via its peer-to-peer networking services. To include OS/2 workstations in a - 183 -

LINE INTEGRALS 1;2 x2 y dx y2 x dy along (a) a straight line from 0; 1 to 1; 2 , (b) straight 10.1. Evaluate lines from 0; 1 to 1; 1 and then from 1; 1 to 1; 2 , (c) the parabola x t, y t2 1.

EXAMPLE 4 Here is an easy example that shows how to solve a simple system:

Solve[{2 x + 3 y 7, 3 x + 4 y 10}, {x, y}] or Solve[2 x + 3 y 7 && 3 x + 4 y 10, {x, y}]

2, y 1}}

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(a) An equation for the line joining 0; 1 and 1; 2 in the xy plane is y x 1. Then dy dx and the line integral equals 1 1 fx2 x 1 g dx f x 1 2 xg dx 2x2 2x dx 5=3

In this example, the specification of {x, y} is not necessary because we do not have more variables than equations. If you have more unknown variables than equations, you must specify which variables you wish to solve for. Otherwise you get Mathematica s default.

workgroup or domain, begin by verifying or adding NetBIOS over TCP/IP to the set of network protocols. From the OS/2 desktop, run the IBM Multi-Protocol Transport Services (MPTS) configuration program and select Adapters and Protocol Services Configure LAN Adapters and Protocols respectively to display the Adapter and Protocol Configuration menu (Figure 13.5). If it is not already installed, add IBM OS/2 NETBIOS OVER TCP/IP protocol. Before rebooting the system you'll need to edit the \IBMLAN\IBMLAN.INI file on the OS/2 boot drive. Check the [networks] section of the IBMLAN.INI file and verify that MPTS added an entry for TCPBEUI$. The stanzas should look something like Example 13.5. Add a TCPBEUI$ entry if it is missing. Also verify that the wrknets and srvnets parameters refer to both the NET1 and NET2 [networks] stanzas.

Solve[{x + 2 y + z 5, 2 x + y + 3 z 7}, {y, z}]

y 8 x , z 3( 3+ x) 5 5

x 0 0

Solve[a x2 + b x + c 0, x] b b2 4ac b + b2 4ac x , x 2a 2a

Observe that Mathematica gives the general solution in terms of arbitrary a, b, and c unless values are assigned to these variables.

Example 13.5 IBMLAN.INI Stanzas for NetBIOS over TCP/IP net1 = TCPBEUI$,0,LM10,100,150,14 net2 = NETBEUI$,0,LM10,100,150,14 ... wrknets = NET1, NET2 ... srvnets = NET1, NET2

Solve[x3 + y2 5 && x + y 3]

0;1

Because Mathematica returns the solutions of equations as a nested list, they cannot be used directly as input to other mathematical structures. However, we can access their values without unnecessary typing or pasting by using /. If we wish to compute the value of an expression using the solutions obtained from Solve, we can use the /. replacement operator and Mathematica will substitute the appropriate values.

x2 + y = 5 EXAMPLE 8 Suppose we wish to solve the equations and compute the values of the expression x 2 + y 2 . x+y =3 We use the Solve command and the object solutions for convenience. solutions = Solve[{x2 + y 5, x + y 3},{x, y}]

(b) Along the straight line from 0; 1 to 1; 1 , y 1; dy 0 and the line integral equals 1 1 x2 1 dx 1 x 0 x2 1 dx 2=3

1, x 2}, {y 4, x 1}}

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