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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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