1
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the solution of the differential equation

$$x\,dy - y\,dx = 0$$ ?
A
xy = C
B
y = Cx
C
x + y = C
D
x $$-$$ y = C
2
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Which one of the following differential equations has a periodic solution?
A
$${{{d^2}x} \over {d{t^2}}} + \mu x = 0$$
B
$${{{d^2}x} \over {d{t^2}}} - \mu x = 0$$
C
$$x{{dx} \over {dt}} + \mu t = 0$$
D
$${{dx} \over {dt}} + \mu xt = 0$$
3
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The order and degree of the differential equation $${y^2} = 4a(x - a)$$, where 'a' is an arbitrary constant, are respectively
A
1, 2
B
2, 1
C
2, 2
D
1, 1
4
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the solution of $$(1 + 2x)dy - (1 - 2y)dx = 0$$ ?
A
$$x - y - 2xy = C$$
B
$$y - x - 2xy = C$$
C
$$y + x - 2xy = C$$
D
$$x + y + 2xy = C$$
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