# 12 - Maths - Unit 8 - Differential Equations

26 Questions | Total Attempts: 574

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Prepared by, R VISVANATHAN, PG ASST IN MATHS, GHSS, PERIYATHACHUR, TINDIVANAM TK-605651   ; &nbs p; & www. Padasalai. Net

• 1.
The integrating factor of is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 2.
If  is an integrating factor of the differential equation then  is equal to (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 3.
Integrating factor of  is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 4.
The integrating factor of is (1)    (2)     (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 5.
Solution of , where  is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 6.
Is the general solution of the differential equation (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 7.
The differential equation  is (1)  of order 2 and degree 1 (2)  of order 1 and degree 2 (3)  of order 1 and degree 6 (4)  of order 1 and degree 3
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 8.
The differential equation of all circles with centre at the origin is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 9.
The integrating factor of the differential equation  is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 10.
The differential equation of the family of lines  is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 11.
The differential equation of all non-vertical lines in a plane is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 12.
The complementary function of  is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 13.
The amount present in a radio active element disintegrates at a rate proportional to its amount. The differential equation corresponding to the above statement is ( k is negative) (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 14.
A particular integral of  is (1)   (2)    (3)       (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 15.
The degree of the differential equation  (1)  1  (2)  2  (3)  3  (4)  6
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 16.
The differential equation obtained by eliminating  and  from  is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 17.
The degree of the differential equation  where  is a constant is (1)  1  (2)  3  (3)  - 2  (4)  2
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 18.
The differential equation formed by eliminating A and B from the relation  is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 19.
The differential equation satisfied by all the straight lines in  plane is (1)   a constant  (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 20.
If then its differential equation is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 21.
If then  (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 22.
If  and  then  is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 23.
On putting , the homogeneous differential equation becomes (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 24.
The integrating factor of the differential equation  is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

• 25.
The P.I of is (1)    (2)    (3)    (4)
• A.

(1)

• B.

(2)

• C.

(3)

• D.

(4)

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