# 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

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

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

4.) The solution of is

(a)

(b)

(c)

(d) 4

5.) The solution of the differential equation represents a family of

(a) Straight linesÂ  Â  Â  Â  Â  Â  (b) circles

(c) PrabolasÂ  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â (d) Ellipse

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

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 – 4Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  (d) y = 2xÂ² – 4

8.) Which of the following is not a homogenuous function of x and y ?

(a)

(b)

(c)

(d)

9.) Solution of the differential equation

(a)

(b)

(c) xy = c

(d) x + y = c

10.) The solution of differential equation is

(a)

(b)

(c)

(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

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 definedÂ  Â  Â  Â  (d) 2

13.) The order and degree of differential equation

(a) 2 and Not definedÂ  Â  Â  Â  Â  (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

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)

15.) The general solution of is

(a)

(b)

(c)

(d)

16.) Integrating factor of is

(a) xÂ  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â (b)

(c) Â  Â  (d) -x

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) NoneÂ  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â (b) one

(c) twoÂ  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  (d) ifinite

19.) which of the following is a second order differential equation ?

(a)

(b)

(c)

(d)

20.) Integrating factor of the differential equation is

(a) -xÂ  Â  Â  Â  Â  Â  Â  Â  Â (b)

(c) Â  Â  Â (d)

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