1 ) A solution of a differential equation that is free of arbitrary parameters is referred to as a …………..

1 ) A solution of a differential equation that is free of arbitrary parameters is referred to as a  …………..  ( Particular )  solution .

 

2 )  For what value of  "c" ,  the following  ( IVP )  holds the respective function?

Correct Answer : -  D )   c = 5  ,

 

3 )  Which of the following differential equation holds the following solution ?

 

Correct Answer : - C ) .

 

4 )  Under what condition the following differential equation becomes homogeneous ?

Correct Answer : -  B )   h = 2 ,  k = 1 .

 

5 )  Which function satisfy the following equation ?

 

Correct Answer : -  E ) ,

 

6 )  For what value of   f ( x , y ) , the following differential equation holds ?

 

Correct Answer : -  A ) ,

 

7 )  The integrating factor of the following equation is  …………… …….….

 

Correct Answer : -  C )  ,

 

8 )   For what   " c " , the following function satisfy the respective IVP ?

 

Correct Answer : -  D )    ( 1 / square root ( 2 ) ) ,

 

 9 )   A solution of  differential equation that is identically (0)  zero on an interval "I" is called …………….  ( Trivial ) solution .