1 ) Which of the following mathematicians introduced a derivative notation ?
A ) Leibniz, Cauchy .
B ) Cauchy, Euler .
C ) Euler, Newton .
D ) Leibniz, Newton .
E ) Cauchy, Newton
Correct Anwser : -
2 ) A solution of a differential equation that is free of arbitrary parameters is referred to as --------------- solution .
A ) Singular ,
B ) Implicit ,
C ) Explicit ,
D ) General ,
E ) Particular ,
Correct Anwser : -
3 ) A solution of a differential equation that is identically zero on an interval "I" is called ------------- solution .
A ) Trivial
,
B )
Non-trivial ,
C ) General
,
D )
Particular ,
E ) All of
above
Correct
Anwser : -
4 ) For what value(s) of "m" ,
the following function becomes a solution of
y''- 5y' +6y = 0 ?
Correct
Anwser : - C ) 2 , 3 .
5 ) The following general nth-order
differential equation has ---------- variables .
Correct
Anwser : - E ) n + 2 ,
6
) Which of the following is a
differential equation of all circles of radius " a " ?
Correct
Anwser : - B )
7
) The solution " y = 0 " is a -----------
solution of the following differential
equation .
A ) Trajectory
,
B ) Singular
,
C ) Envelope
,
D ) Trajectory
and Singular both ,
E ) Singular
and Envelope both ,
Correct
Anwser : -
8
) The following differential equation is
known as -------- differential equation .
A ) Ordinary
,
B ) Partial ,
C ) Autonomous
,
D ) Laplace ,
E ) None of
above ,
Correct
Anwser : -
9
) Which of the following is an
integrating factor of the differential equation ?
Correct
Anwser : - B )
10
) Which of the following equations
represents a nonlinear differential equation ?
Correct
Anwser : - C )
