A2x+B(6x+3)+C(3x+2)=0 will be linearly independent when a)

[Pages:2]MCQ (MTH108) (unit-1, 2, 3) 1.The equation y''xy'6y ln(x2 9) is normal in any of the subintervals of

a) (3, ) b) (0, ) c) (0,4) d) (,3) (3,)

2. A2x+B(6x+3)+C(3x+2)=0 will be linearly independent when

a) A=B=C b) A=B=C=0 c) Wronskian(A,B,C)=0 d) A=B=C=1

3. General solution of

is

a)

b)

c)

d)

4. General solution of

is given by

a)

b)

c)

d)

.5. Particular integral for y''16y cos 4x is

a) 2x sin 4x b) x sin 4x c) x sin 4x d) None of these

8

8

6.. The diff. equation of (D2 6D 9) y 50e2x has P.I.

a) 2 e 2x b) 2e2x c) e2x d) None of these 3

7.By method of undetermined coefficient , the choice of particular integral for y''4y 5e2x is

a) C e2x b) C xe 2x c) C x2e2x d) C x3e2x

8. By variation of parameters y''4y cos 2x ,the value of wronskian is

a)1 b) 2 c) 4 d) none of these 9. General solution of y''16y 12e2x is

a) Ae4x Be4x 3 e2x b) Acos 4x Bsin 4x 3 e2x c) Ae4x Bxe4x e2x d) none of these

5

5

10. The solution of diff. equation x2 y''xy' y 0 is

a) c1 cos(ln x) c2 sin(ln x) b) c1x c2 x2 c) c1 cos x c2 sin x d) None of these

11.By elimination, solution of in the simultaneous system ( ) (

)

( )(

)

will be

a)

b)

c) 0 d) Does not exist

12.

has auxiliary equation

a) m2+2m-4=0 b) m2-4=0 c) m2-2m-4=0 d) m2+4=0

13. The roots of auxiliary equation of x2 y''xy'9y 0 are

a)3,3 b) 3,3 c) 3, 3 d)

14. By matrix method , Eigen values for

[ ] will be

a) 6,1 b) -6,-1 c) 2,3 d) -3, -2

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