Sunday 27 September 2015

bca3010 smu bca summer 2015 IIIrd sem assignment

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Summer 2015, ASS IGNMENT
PROGRAM-BCA(REVISED FALL 2012)
SEMESTER-3
SUBJECT CODE & NAME BCA3010 -COMPUTER ORIENTED NUMERICAL METHODS
CREDIT-4
BK ID-B1643
MAX. MARKS-60
Q1. Solve the system of equation by matrix inversion method
x +y +z = 1
x +2y + 3z = 6
x + 3y +4z = 6 
Answer.
The given equation can be written as
AX = B
ð X = A-1B              

2. Find all eigen values and the corresponding eigen vectors of the matrix


Solution.
The characteristic equation of A is


3. Find the cubic polynomial which takes the following values y(0) = 1,  y(1) =  0,  y(2) = 1 and  y(3)  =  10. Hence or otherwise, obtain y (0.5). 
Solution.
Solution: Here  x0  =  0,  x1 =
1,
x2 =  2,  x3 =
3




 and
y0 =

1,  y1 =  0,
y2 =
1

y3 =  10








4.

Solution.
Solution: Here
a = 0,
b =
p
,

n = 6,








































2


















































p
























Q5. Use Picard’s method of successive approximations to find y1,y2, y3 to the  solution of the initial value problem 𝑦′ = 𝑑𝑦/𝑑𝑥= 𝑦,  given that y =2 for  x = 0. Use y3 to estimate the value of y (0.8).
Solution.
  
Solution: On 



Q6.  Solve x  y”+ y = 0, y ‘(1) = 0, y(2) = 1, h = ½  10
Solution.
x0
= 1,
x1 = 1.5,
x2 = 2
y0
= y(x0) = y(1) = ?




Get fully solved assignment. Buy online from website
online store
or
plz drop a mail with your sub code
we will revert you within 2-3 hour or immediate
Charges rs 125/subject and rs 625/semester only.
if urgent then call us on 08791490301, 08273413412


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