1
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What are the order and degree, respectively, of the differential equation $$\left( {{{{d^3}y} \over {d{x^3}}}} \right) = {y^4} + {\left( {{{dy} \over {dx}}} \right)^5}$$ ?
A
4, 5
B
2, 3
C
3, 2
D
5, 4
2
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is the degree of the differential equation $${{{d^3}y} \over {d{x^3}}} + {\left( {{{dy} \over {dx}}} \right)^2} - {x^2}\left( {{{{d^4}y} \over {d{x^4}}}} \right) = 0$$ ?
A
1
B
2
C
3
D
4
3
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Which one of the following is the differential equation that represents the family of curves $$y = {1 \over {2{x^2} - C}}$$,where C is an arbitrary constant?
A
$${{dy} \over {dx}} = 4x{y^2}$$
B
$${{dy} \over {dx}} = {1 \over y}$$
C
$${{dy} \over {dx}} = {x^2}y$$
D
$${{dy} \over {dx}} = - 4x{y^2}$$
4
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The differential equation which represents the family of curves given by $$\tan y = C(1 - {e^x})$$ is
A
$${e^x}\tan ydx + (1 - {e^x})dy = 0$$
B
$${e^x}\tan ydx + (1 - {e^x}){\sec ^2}ydy = 0$$
C
$${e^x}(1 - {e^x})dx + \tan ydy = 0$$
D
$${e^x}\tan ydy + (1 - {e^x})dx = 0$$
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