1
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
If $\frac{dy}{dx} = 2e^xy^3$, $y(0)= \frac{1}{2}$ then what is $4y^2(2-e^x)$ equal to?
2
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following for the next items that follow:
A parabola passes through (1, 2) and satisfies the differential equation $\frac{d y}{d x}=\frac{2 y}{x}, x>0, y>0 .$
What is the directrix of the parabola ?
3
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following for the next items that follow:
A parabola passes through (1, 2) and satisfies the differential equation $\frac{d y}{d x}=\frac{2 y}{x}, x>0, y>0 .$
What is the length of latus rectum of the parabola?
4
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
What are the order and the degree respectively of the differential equation $\rm x^2\left(\frac{d^3 y}{d x^3}\right)^2+\left(\frac{d y}{d x}\right)^4+\sin x=0$ ?
Questions Asked from Differential Equations (Marks 2.5)
Number in Brackets after Paper Indicates No. of Questions
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