ex5_5.dir

Programs for the book Advanced Engineering Mathematics using MATLAB, 2ndEd.

ex5_5
Check results of Example 5.5 

p =

     1     3     3     1     0     0


r =

        0         
        0         
  -1.0000         
  -1.0000+ 0.0000i
  -1.0000- 0.0000i


p1 =

     1     2     5


r1 =

  -1.0000+ 2.0000i
  -1.0000- 2.0000i

Strike a key for symbolic solutions 
 
lam =
 
[ -1/2*b+1/2*(b^2-4*c)^(1/2)]
[ -1/2*b-1/2*(b^2-4*c)^(1/2)]
 
 
roots5 =
 
[  0]
[  0]
[ -1]
[ -1]
[ -1]
 

yroot =

y^2+2*y+5

 
roots2 =
 
[ -1+2*i]
[ -1-2*i]
 

p5 =

     1    10     5     5    10     1


r5 =

  -9.5184         
   0.3117+ 0.9502i
   0.3117- 0.9502i
  -1.0000         
  -0.1051         

dir

.             ex5_4.m       ex5_5.dir     ex5_7.m       whatif5_1.m   
..            ex5_4new.m    ex5_5.m       whatif5_1.dir 

ex5_7

yeq =

D2y+3*Dy+2*y=f(t)

 
  /  /                                       /
  | |                                       |
- | |  f(t) exp(2 t) dt exp(-2 t) exp(t) -  |  f(t) exp(t) dt
  | |                                       |
  \/                                       /

                               \
                               |
     - C1 exp(-2 t) exp(t) - C2|/exp(t)
                               |
                               /

yeq =

D2y+3*Dy+2*y=exp(-.5*t)

 
               4 exp(- 1/2 t) exp(t) + 3 C1 exp(-2 t) exp(t) + 3 C2
           1/3 ----------------------------------------------------
                                      exp(t)
dbstack
;
disp(which('Ex5_7'));
c:\advmatbk_97\ch05_2\clfilesch5\ex5_7.mmdbstatus ex5_7
diary ex7_7.dir