1
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is the order of the differential equation $${{dx} \over {dy}} + \int {y\,dx = {x^3}} $$ ?
A
1
B
2
C
3
D
Cannot be determined
2
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Which one of the following differential equations represents the family of straight lines, which are at unit distance from the origin ?
A
$${\left( {y - x{{dy} \over {dx}}} \right)^2} = 1 - {\left( {{{dy} \over {dx}}} \right)^2}$$
B
$${\left( {y + x{{dy} \over {dx}}} \right)^2} = 1 + {\left( {{{dy} \over {dx}}} \right)^2}$$
C
$${\left( {y - x{{dy} \over {dx}}} \right)^2} = 1 + {\left( {{{dy} \over {dx}}} \right)^2}$$
D
$${\left( {y + x{{dy} \over {dx}}} \right)^2} = 1 - {\left( {{{dy} \over {dx}}} \right)^2}$$
3
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the order and degree, respectively of the differential equation whose solution is $$y = cx + {c^2} - 3{c^{3/2}} + 2$$, where c is a parameter?
A
1, 2
B
2, 2
C
1, 3
D
1, 4
4
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The general solution of $${{dy} \over {dx}} = {{ax + h} \over {by + k}}$$ represents a circle only when
A
a = b = 0
B
a = $$-$$ b $$\ne$$ 0
C
a = b $$\ne$$ 0, h = k
D
a = b $$\ne$$ 0
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