لوخي 2خبر2
‎ഗാ‏

0: ५ = 1०9 (^ 2+#^2}
Correct Answer:- Option-

ഭയ 2128 ௦ம்‌
Question82:-A partial differential equation of the form &% ۷ v

“=F(x, y, U, U_X, u_y)" is said to be
elliptic

೧-072ಎ07`
8: वे6-0^2 > 0
@:-व0^2 < 0
D:-a+c=2b
Correct Answer:- Option-B
Question83:-General Integral of *yzz_x+xzz_y=xy" is :
ಹರ 00೧2372, 2723/72) ಎ07

وا

C:-F *(yz, xz)=0"

F[_l,_l,_xy},_o
ம ‏لا‎ 2

Correct Answer:- Option-A

Question84:-Which of the following function is nowhere analytic :
कयित) ர்‌
8;-`1(7)ಎ21--1 (2-2)
CifZ)=x 2y 2+ ‏ود‎
‎5:- മുട്ടി 0 “cosy+i
Correct Answer:- Option-B

سرت و سرت

Question85:-Let ‏ونا وط‎ be the one-dimensional wave equation with boundary conditions

u{0, t} = 0, u{L, t)=0 forall t and initial conditions

ಟು 0, `ಟ_[ {x, 0} = g{x)" for all x.

If u {x, t} = “sum_(n=1)"00" *(a_n cos lambda_n t+b_nsinlambda_n t} sin’ *{npix}/(L}", then *a_n ="

L
ತ ] ಖೈ 008 ಗ್‌ 42
കട 1
L
| 5 पान ಗ್ರ
8: ०
L ‏لط‎
‎- 17 ங்க
c- 0
it
| ट 1753 ‏پر‎
‎D:- 1

Correct Answer:- Option-C
Question86:-Two-dimensional heat equation is :
‏یر‎ =& (படி ധ്യ
~
5 1111-५ 11
ടോ ധാ”
8 யடி (ம பி
Correct Answer:- Option-A

Question87:-Let *phi’ {x)=x be an iteration function for solving the equation f(x)=0 by fixed point iteration method. The
iterations converges to a root, if :

A:-['phi**(x k)'|>1, fork=0,12,...