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Practice Question on differential equation For NDA , IIT-JEE and Airforce

differential equation

Question no. 1
The degree and order respectively of the differential equation are
looks_one 1,1
looks_two 1,2
looks_3 2,1
looks_4 2,2
Option 1. 0
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Question no. 2
The differential equation of the curve y =sinx is
looks_one
looks_two
looks_3
looks_4
option
ver soon 2

Question no. 3
The general solution of the differential equation is?
looks_one xy = c
looks_two x = cy
looks_3 x + y = c
looks_4 x2 + y2 = c
option
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Question no. 4
What is the degree of the differential equation
looks_one 5
looks_two 4
looks_3 3
looks_4 2
option
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Question no. 5
The differential equation where 'a' is any constant represents :
looks_one A set of straight line
looks_two A set of ellipse
looks_3 A set of circle
looks_4 None of these
option
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Question no. 6
what is the general solution of the differential equation x2dy + y2dx = 0 ?
looks_one x + y= c
looks_two xy= c
looks_3 c(x+y) = xy
looks_4 None of these
option
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Question no. 7
Consider a differential equation of order m and degree n. Which one of the following pairs is not feasible?
looks_one (3,2)
looks_two (2,3/2)
looks_3 (2,4)
looks_4(2,2)
option
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Question no. 8
What is the equation of the curve passing through the point satisfying the differential equation sinxcosy dx + cosx sin y dy = 0?
looks_one cosx cosy = √3/2
looks_two sinx siny = √3/2
looks_3 sinx siny = 1/2
looks_4 cosx cosy = 1/2
option
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Question no. 9
What is the degree of the following differential equation ?
looks_one 1
looks_two 12
looks_3 3
looks_4 4
option
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Question no. 10
What is the differential equation of all parabolas whose axes are parallel to Y-axis?
looks_one
looks_two
looks_3
looks_4
option
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Question no. 11
What is the solution of the differential equation ?
looks_one sin-1y + sin-1x= C
looks_two sin-1y - sin-1x= C
looks_3 2sin-1y + sin-1x= C
looks_4 2sin-1y - sin-1x= C
option
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Question no. 12
what is the differential equation to family of parabola having their vertices at the origin and foci on the x-axis?
looks_one y=2xy'
looks_two x= 2yy'
looks_3 xy= y'
looks_4 x= yy'
option
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Question no. 13
What is the solution of the differential equation xdy- ydx = xy2 dx?
looks_one y + x-2 = c
looks_two y2 + 2x-1= c
looks_3 y + x-1 = c
looks_4 x2 + 2xy-1 = c
option
very son 13
Question no. 14
What is the solution of the differential equation 3extany dx + (1+ex) sec2y dy = 0 ?
looks_one (1+ex)tany = c
looks_two (1+ex)2tany = c
looks_3 (1+ex)3tany = c
looks_4 (1+ex)sec2y= c
option
very soon14
Question no. 45
What is the degree of the differential equation ?
looks_one 1
looks_two 2
looks_3 4
looks_4 8
option
very soon15

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