Differential Equation - Topic Wise Multiple Choice Questions (MCQ)
Topic Wise Differential Equation MCQ for competitive exam Practice Multiple Choice Questions for Engg Bank JEE CET Entrance Online Test
11 )
The order of differential equation of all parabola with it’s axis parallel to y-axis and touch x-axis is.
1
2 ✔
3
4
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12 )
Which of the following differential equation has the same order and degree______.
Choose correct option from below
(A) (d4y / dx4) + 8(dy / dx)6 + 5y = ex
(B) 5(d3y / dx3) + 8[1 + (dy / dx)2] + 5y = x8
(C) y = x2(dy / dx) + √[1 + (dy / dx)2]
(D) [1 + (dy / dx)3](2/3) = 4 (d3y / dx3)]
A
B
C
D ✔
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13 )
The differential equation of all conics having centre at the origin is of order.
2
3 ✔
4
5
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14 )
The order and degree of the differential equation y2 = [{1 + (dy / dx)2}(3/2) / (d2y / dx2)] are (respectively)
2, 1
2, 2 ✔
2, 3
2, 6
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15 )
Which of the following equations is a linear equation of order 3 ?
Choose correct option from following options
(A) (d3y / dx3) + (d2y / dx2) ∙ (dy / dx) + y = x
(B) (d3y / dx3) + (d2y / dx2) + y2 = x2
(C) x ∙ (d3y / dx3) + (d3y / dx3) = ex
(D) (d2y / dx2) + (dy / dx) = log x
A
B
C ✔
D
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