Class 12 differential equation multiple choice question
Multiple choice (Differential equation)
Choose and write the correct option in the following question:(differential equation multiple choice)
1.) The degree of differential equation is
(a) 1Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â (b) 2
(c)3Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â (d) 6
Answer (a)
2.) The degree of differential equation is
(a) 1Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â (b) 2
(c) 3Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â (d) Not defined
Answer (d)
3.) The order and degree of the differential eqution respectively, are
(a) 1, 2Â Â Â Â Â Â Â Â Â Â Â Â Â Â (b) 2, 2
(c) 2, 1Â Â Â Â Â Â Â Â Â Â Â Â Â Â (d) 4, 2
Answer (c)
4.) The solution of is
(a)
(b)
(c)
(d) 4
Answer (b)
5.) The solution of the differential equation represents a family of
(a) Straight lines      (b) circles
(c) Prabolas           (d) Ellipse
Answer (c)
6.) The integrating factor of the differential equation is
(a) Â Â Â Â Â Â Â Â Â Â Â Â (b)
(c) Â Â Â Â Â Â (d) x
Answer (b)
7.)Â A solution of differential equation is
(a) y =Â 2Â Â Â Â Â Â Â Â Â Â Â Â Â Â (b) y = 2x
(c) y = 2x – 4          (d) y = 2x² – 4
Answer (c)
8.) Which of the following is not a homogenuous function of x and y ?
(a)
(b)
(c)
(d)
Answer (d)
9.) Solution of the differential equation
(a)
(b)
(c) xy = c
(d) x + y = c
Answer (c)
10.) The solution of differential equation is
(a)
(b)
(c)
(d)
Answer (d)
11.) The degree of the differential equation is
(a) 1Â Â Â Â Â Â Â Â Â Â Â Â Â Â (b) 2
(c) 3Â Â Â Â Â Â Â Â Â Â Â Â Â Â (d) Not defined
Answer (d)
12.) The degree of the differential equation is
(a) 4Â Â Â Â Â Â Â Â Â Â Â Â Â (b) 3/2
(c) Not defined    (d) 2
Answer (d)
13.) The order and degree of differential equation
(a) 2 and Not defined     (b) 2 and 2
(c) 2 and 3Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â (d) 3 and 3
Answer (a)
14.) The solution of differential equation with y(1) = 1 is given by
(a) Â Â Â Â (b)
(c) Â Â Â Â Â Â Â (d)
Answer (a)
15.) The general solution of is
(a)
(b)
(c)
(d)
Answer (b)
16.) Integrating factor of is
(a) x           (b)
(c) Â Â (d) -x
Answer (c)
17.) Solution of is given by
(a) Â Â Â (b)
(c) xy = -1Â Â Â Â Â Â Â Â Â Â (d) -x
Answe (d)
18.) The number of solution of when y(1) = 2 is
(a) None           (b) one
(c) two             (d) ifinite
Answer (b)
19.) which of the following is a second order differential equation ?
(a)
(b)
(c)
(d)
Answer (b)
20.) Integrating factor of the differential equation is
(a) -x         (b)
(c) Â Â Â (d)
Answer (c)Â
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