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?
$${{{d^2}y} \over {d{x^2}}} + 2{\left( {{{dy} \over {dx}}} \right)^2} + 9x = x$$
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?
2
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the general solution of the differential equation $${{dy} \over {dx}} + {x \over y} = 0$$ ?
3
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Let $y_1(x)$ and $y_2(x)$ be two solutions of the differential equation $\frac{dy}{dx} = x$. If $y_1(0) = 0$ and $y_2(0) = 4$, then what is the number of points of intersection of the curves $y_1(x)$ and $y_2(x)$?
4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
The differential equation, representing the curve $y = e^{x}(a\cos{x} + b\sin{x})$ where $a$ and $b$ are arbitrary constants, is
Questions Asked from Differential Equations (Marks 2.5)
Number in Brackets after Paper Indicates No. of Questions
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