Java程序辅导

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Math 244, Lab 1 Exercises
Put this at the top of your lab.
Lab 1
Name
Date
Start off with a short statement describing what the lab is all about. The best time to write it is after you have 
finished the lab.
Name this lab JonesLab1 (if your name is Jones). Do it now, and save it in your Documents Folder. When you are
ready to hand it in, do a print preview to check the size of your plots and down-size them if necessary.  
Evaluate the following integrals.
x2 C 2  dx  Enter the square root symbol by typing sqrt then pressing the escape key [esc].
0
4
x2 C 2  dx   Obtain both exact and approximate values. 
0
N
x2 eK3 x dx   Obtain both exact and approximate values. To enter the infinity symbol type infinity, 
then press the escape key [esc].
x
x4 C p
 dx  To enter p, type pi and press the escape key [esc].
Consider the differential equation x y' C y = sin x  .  Don't forget to put a space after the first x.
Obtain the general solution.
Find the solution to this equation that satisfies the initial condition y p = 0 .
Make an informative plot of the solution you found in part b.
Consider the differential equation y' = ey xC 2  .  To enter ey , type exp, press [esc] (choose the first 
template) then press y. Use the right arrow key to get out of the exponent.
Obtain the general solution.
Find the solution to this equation that satisfies the initial condition y 0 = 0 .
Make an informative plot of the solution you found in part b.
Direction fields can be plotted using Maple's DEplot procedure. If de is a first order ode, or the name of 
one, and y is a function of x, the syntax is
                                        DEplot  de, y x , x = a ..b, y = c ..d, arrows = line  .
Add a set of initial conditions  y x1 = y1, y x2 = y2, ... , y xn = yn  and the output plot will also 
contain solution curves (numerically generated). Use the following entries to generate a direction field and
some solution curves for the differential equation
                                                                       y'  = x2 C y2 K 1 . 
The linecolor and thickness equations are optional.
with DEtools : 
de d y'  = x2 C y2 K 1 ; initsd y k = 0 $ k =K2 ..2   #Ask about the dollar sign.
DEplot  de,  y x ,  x =K3 ..3,  y =K3 ..3,  arrows = line,  inits,  linecolor = blue,  thickness = 1