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1
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is the solution of the differential equation $$\ln \left( {{{dy} \over {dx}}} \right) = ax + by$$?
A
$$a{e^{ax}} + b{e^{by}} = C$$
B
$${1 \over a}{e^{ax}} + {1 \over b}{e^{by}} = C$$
C
$$a{e^{ax}} + b{e^{ - by}} = C$$
D
$${1 \over a}{e^{ax}} + {1 \over b}{e^{ - by}} = C$$
2
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is the solution of the differential equation $${{dx} \over {dy}} = {{x + y + 1} \over {x + y - 1}}$$ ?

Where, C is an arbitrary constant.
A
$$y - x + 4\ln (x + y) = C$$
B
$$y + x + 2\ln (x + y) = C$$
C
$$y - x + \ln (x + y) = C$$
D
$$y + x + 2\ln (x + y) = C$$
3
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
4
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
$${{dx} \over {dt}} + \mu xt = 0$$
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