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Winter 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
where
lI =
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.
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Solution: Here x0
= 0, x1 =
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1,
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x2 =
2, x3 =
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3
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and
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y0 =
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1, y1 =
0,
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y2 =
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1
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y3 =
10
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4.
Solution.
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Solution:
Here
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a = 0,
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b =
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p
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n = 6,
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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.
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x0
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= 1,
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x1
= 1.5,
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x2
= 2
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y0
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= y(x0) = y(1) = ?
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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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