1
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If $$xdy = y(dx + ydy);y(1) = 1$$ and $$y(x) > 0$$, then what is $$y( - 3)$$ equal to?
A
3
B
3
C
1
D
0
2
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What are the degree and order respectively of the differential equation $$y = x{\left( {{{dy} \over {dx}}} \right)^2} + {\left( {{{dx} \over {dy}}} \right)^2}$$ ?
A
1, 2
B
2, 1
C
1, 4
D
4, 1
3
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the differential equation corresponding to $${y^2} - 2ay + {x^2} = {a^2}$$ by eliminating a?
A
$$({x^2} - 2{y^2}){p^2} - 4pxy - {x^2} = 0$$
B
$$({x^2} - 2{y^2}){p^2} + 4pxy - {x^2} = 0$$
C
$$({x^2} + 2{y^2}){p^2} - 4pxy - {x^2} = 0$$
D
$$({x^2} + 2{y^2}){p^2} - 4pxy + {x^2} = 0$$
4
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the general solution of the differential equation $$ydx - (x + 2{y^2})dy = 0$$ ?
A
$$x = {y^2} + Cy$$
B
$$x = 2C{y^2}$$
C
$$x = 2{y^2} + Cy$$
D
None of these
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