Jaypee Institute of Information Technology (JIIT) 2008 B.E Civil Engineering Test 1 : Mathematics II For Civil - Question Paper
JAYPEE UNIVERSITY OF INFORMATION TECHNOLOGY
WAKNAGHAT (H. P.)
TEST - 1 (February 200S)
B. Tcch. (Bl. BT, BTDD. CE) Semester II
CourseCode: 07B21MA102 Max. Time: 1 Hour
Course Title: Mathematics II
Course Credits: 4 Max. Marks: 20
i\ote: Attempt all questions. Marks for each question are given on right in brackets.
1. Solve the differential equation x y" - xy + y = 2 log x by taking log* * z . (5)
1 1
2. Obtain the general solution of the equation x y" - 2xy' + (x + 2)y - 0. (5)
3. Test whether the series
, 1 I 1 1 1 I 1
2 2 *,+ 2+ 2~ 2~2 +....................
2 3J 4- 5 I2 8
is convergent or not? (2)
Find the interval of convcrgcncc of the series
2 23:c3 , 4 21x5 2x--+ 4.x--+.....................
Obtain two independent power scries solutions near x 0 of the differential
equation y* + xy = 0. (5)
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