Recent questions and answers in Differential Equations

Recent questions and answers in Differential Equations

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GATE2016-24
The Laplace transform $F(s)$ of the function $f(t) = \cos (at)$, where $a$ is constant, _________ $\dfrac{s^2}{s^2+a^2} \\$ $\dfrac{a}{s^2+a^2} \\$ $\dfrac{s}{s^2+a^2} \\$ $\dfrac{s}{s^2-a^2} $

Milicevic3306 asked in Differential Equations Mar 26, 2018

by Milicevic3306

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GATE2016-53
$\dfrac{d^2y}{dx^2}-y=0$. The conditions for this second order homogeneous differential equation are $y(0)=1$ and $\dfrac{dy}{dx}=3$ at $x=0$. The value of $y$ when $x = 2$ is __________

Milicevic3306 asked in Differential Equations Mar 26, 2018

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GATE2017-16
For $y=f(x)$, if $\dfrac{d^2y}{dx^2}=0$, $\dfrac{dy}{dx}=0$ at $x=0$, and $y=1$ at $x=1$, the value of $y$ at $x=2$ is __________

Milicevic3306 asked in Differential Equations Mar 26, 2018

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GATE2013-41
The solution to $\frac {dy}{dx}+y \cot x=\csc x$ is $y=(c+x)\cot x$ $y=(c+x)\csc x$ $y=(c+x)\csc x\cot x$ $y=(c+x)\frac{\csc x}{\cot x}$

Milicevic3306 asked in Differential Equations Mar 26, 2018

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5

GATE2013-39
The Laplace transform of $f(t) = 2t + 6$ is $\frac{1}{s}+\frac{2}{s^2}$ $\frac{3}{s}-\frac{6}{s^2}$ $\frac{6}{s}+\frac{2}{s^2}$ $-\frac{6}{s}+\frac{2}{s^2}$

Milicevic3306 asked in Differential Equations Mar 26, 2018

by Milicevic3306

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Recent questions and answers in Differential Equations

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