1
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following in respect of the differential equation :

$${{{d^2}y} \over {d{x^2}}} + 2{\left( {{{dy} \over {dx}}} \right)^2} + 9x = x$$

1. The degree of the differential equation is 1.

2. The order of the differential equation is 2.

Which of the above statements is/are correct?
A
Only 1
B
Only 2
C
Both 1 and 2
D
Neither 1 nor 2
2
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the general solution of the differential equation $${{dy} \over {dx}} + {x \over y} = 0$$ ?
A
$${x^2} + {y^2} = C$$
B
$${x^2} - {y^2} = C$$
C
$${x^2} + {y^2} = Cxy$$
D
$$x + y = C$$
3
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Direction : Consider the following for the items that follow :

Let ydx + (x - y3)dy = 0 be a differential equation.  

What are the order and degree respectively of the differential equation? 
1
1 and 1
2
1 and 2
3
2 and 1
4
1 and 3
4
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Direction : Consider the following for the items that follow :

Let ydx + (x - y3)dy = 0 be a differential equation.  

What is the solution of the differential equation? 
1
y4 + 2x = c
2
y4 + 3x = c
3
2xy4 + x = c
4
4xy - y4 = c
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