A homogeneous linear differential equation possess the --------------- solution . A ) Trivial , B ) Inconsistent , C ) All of above , D ) Consistent , E ) Nontrivial ,

 1 )  A homogeneous linear differential equation possess the  ---------------  solution .

A )  Trivial ,

B )  Inconsistent ,

C )  All of above ,

D )  Consistent ,

E )  Nontrivial ,

Correct Answer : -    A )  Trivial ,

 

2 )  The particular solution of the following equation is  ---------------- ,

 

Correct Answer : -    D )   5 ,

 

3 )  The general solution of the following equation is ………………………. ,

 

Correct Answer : -   E )  ,

 

4 )  If the following function y1 ( x ) is a solution of a following equation , then  y2 ( x ) = ----- -------- ,

 

Correct Answer : -   B )  Sinhx  ,

 

5 )   The value of following expression is  ------------------- ,

 

Correct Answer : -   D )  ,

 

6 )   If y1 and y2 are both solutions of the following equation on the number line R , then Wronskian is ……………………… ,

 

Correct Answer : -   C )   - 6    ,

 

7 )  The following boundary value problem has  ----------------  solution .

 

Correct Answer : -   A )  one ,

 

8 )  The set of following functions is linearly ---------------  on the number line R .

A )  Infinite ,

B )  None of the above ,

C )  Dependent ,

D )  Independent ,

E )  Finite

Correct Answer : -   D )  Independent  ,

 

9 )  Which of the following differential equation has the following roots ?

 

Correct Answer : -    E )  ,

 

10 )  The complementary function of the following equation is  ----------------- ,

 

Correct Answer : -    D )   ,