# Differential Equations · Mathematics · NDA

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NDA Mathematics 21 April 2024
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...
NDA Mathematics 21 April 2024
The differential equation, representing the curve $y = e^{x}(a\cos{x} + b\sin{x})$ where $a$ and $b$ are arbitrary constants, is
NDA Mathematics 21 April 2024
What are the order and degree respectively of the differential equation  \left\{2-\left(\frac{d y}{d x}\right)^2\right\}^{0-6}=\frac{d^2 y}{d x^2} ?...
NDA Mathematics 21 April 2024
If $\frac{dy}{dx} = 2e^xy^3$, $y(0)= \frac{1}{2}$ then what is $4y^2(2-e^x)$ equal to?
NDA Mathematics 3 September 2023
What is the directrix of the parabola ?
NDA Mathematics 3 September 2023
What is the length of latus rectum of the parabola?
NDA Mathematics 3 September 2023
What are the order and the degree respectively of the differential equation $\rm x^2\left(\frac{d^3 y}{d x^3}\right)^2+\left(\frac{d y}{d x}... NDA Mathematics 3 September 2023 What is the differential equation of all parabolas of the type y2 = 4a (x - b)?... NDA Mathematics 16 April 2023 What is the order of the differential equation ? NDA Mathematics 16 April 2023 What is the degree of the differential equation ? NDA Mathematics 16 April 2023 A solution of the differential equation$\left(\frac{d y}{d x}\right)^2-x \frac{d y}{d x}=0 \$ is
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