The order of the differential equation whose general solution is given by y = C_1 e^ 2x + C_2 + C_3 e^x + C_4 (x + C_5 ) is

The order of the differential equation whose general solution is …

$\int_{ - a}^a {\sin x\,f(\cos x)\,dx = } $

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The equation ${y^2} - {x^2} + 2x - 1 = 0$ represents

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The area bounded by the straight lines $x = 0,x = 2$ and the curves $y = {2^x},y = 2x - {x^2}$ is

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Let $f(x) = \cos px + \sin x$ be periodic, then $p$ must be

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Let the complex number $z=x+$ iy be such that $\frac{2 z-3 i}{2 z+i}$ is purely imaginary. If $x + y ^2=0$, then $y^4+y^2-y$ is equal to :

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If $y = a{e^{mx}} + b{e^{ - mx}}$, then ${{{d^2}y} \over {d{x^2}}} - {m^2}y = $

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The function $f(x) = {x^{1/x}}$ is

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If the two lines $l_{1}: \frac{ x -2}{3}=\frac{ y +1}{-2}, z =2$ and $l_{2}: \frac{x-1}{1}=\frac{2 y+3}{\alpha}=\frac{z+5}{2}$ perpendicular, then an angle between the lines $l_{2}$ and $l_{3}: \frac{1- x }{3}=\frac{2 y -1}{-4}=\frac{ z }{4}$ is

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Let $a € (0,\infty ) $ and $A = \left[\begin{array}{lll}1 & 2 & \alpha \\ 1 & 0 & 1 \\ 0 & 1 & 2\end{array}\right]$ If det$\left(\operatorname{adj}\left(2 A- A ^{ T }\right) \cdot \operatorname{adj}\left( A -2 A^{ T }\right)\right)=2^8$, then $(\operatorname{det}(A))^2$ is equal to:

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Let $ |\cos \theta \cos (60-\theta) \cos (60-\theta)| \leq \frac{1}{8}, \theta \in[0,2 \pi] $ Then, the sum of all $\theta \in[0,2 \pi]$, where $\cos 3 \theta$ attains its maximum value, is $:$

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STD 12 - 9. differential equations — JEE STD 11 Science — Question

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