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1
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The degree of the differential equation $${{dy} \over {dx}} - x = {\left( {y - x{{dy} \over {dx}}} \right)^{ - 4}}$$ is
A
2
B
3
C
4
D
5
2
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The solution of $${{dy} \over {dx}} = \sqrt {1 - {x^2} - {y^2} + {x^2}{y^2}} $$ is

where, C is an arbitrary constant.
A
$${\sin ^{ - 1}}y = {\sin ^{ - 1}}x + C$$
B
$$2{\sin ^{ - 1}}y = \sqrt {1 - {x^2}} + {\sin ^{ - 1}}x + C$$
C
$$2{\sin ^{ - 1}}y = x\sqrt {1 - {x^2}} + {\sin ^{ - 1}}x + C$$
D
$$2{\sin ^{ - 1}}y = x\sqrt {1 - {x^2}} + {\cos ^{ - 1}}x + C$$
3
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The differential equation of the family of circles passing through the origin and having centres on the X-axis is
A
$$2xy{{dy} \over {dx}} = {x^2} - {y^2}$$
B
$$2xy{{dy} \over {dx}} = {y^2} - {x^2}$$
C
$$2xy{{dy} \over {dx}} = {x^2} + {y^2}$$
D
$$2xy{{dy} \over {dx}} + {x^2} + {y^2} = 0$$
4
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The order and degree of the differential equation of parabolas having vertex at the origin and focus at (a, 0), where a > 0, are respectively
A
1, 1
B
2, 1
C
1, 2
D
2, 2
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