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GATE Mechanical 2021 Set 2 | Question: 2

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GATE Mechanical 2021 Set 1 | Question: 3
The Dirac-delta function $\left ( \delta \left ( t-t_{0} \right ) \right )$ for $\text{t}$, $t_{0} \in \mathbb{R}$, has the following property$$\int_{a}^{b}\varphi \left ...
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GATE Mechanical 2021 Set 2 | Question: 28
Consider the following differential equation$$\left ( 1+y \right )\frac{dy}{dx}=y.$$The solution of the equation that satisfies condition $y(1)=1$ is$2ye^{y}=e^{x}+e$$y^{...
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GATE ME 2013 | Question: 27
The function $f(t)$ satisfies the differential equation $\dfrac{d^2f}{dt^2}+f=0$ and the auxiliary conditions, $f(0)=0$, $\dfrac{d(f)}{d(t)}(0)=4$. The Laplace transform ...
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go_editor asked Sep 18, 2020
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GATE2020-ME-2: 4
The solution of $$\dfrac{d^2y}{dt^2}-y=1,$$ which additionally satisfies $y \bigg \vert_{t=0} = \dfrac{dy}{dt} \bigg \vert_{t=0}=0$ in the Laplace $s$-domain is$\dfrac{1}...
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gatecse asked Feb 22, 2021
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GATE Mechanical 2021 Set 1 | Question: 3
The Dirac-delta function $\left ( \delta \left ( t-t_{0} \right ) \right )$ for $\text{t}$, $t_{0} \in \mathbb{R}$, has the following property$$\int_{a}^{b}\varphi \left ...
0 0 votes
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334
334 views
go_editor asked Mar 1, 2021
334 views
GATE Mechanical 2021 Set 2 | Question: 28
Consider the following differential equation$$\left ( 1+y \right )\frac{dy}{dx}=y.$$The solution of the equation that satisfies condition $y(1)=1$ is$2ye^{y}=e^{x}+e$$y^{...
0 0 votes
0 0 answers
327
327 views
piyag476 asked Feb 19, 2017
327 views
GATE ME 2013 | Question: 27
The function $f(t)$ satisfies the differential equation $\dfrac{d^2f}{dt^2}+f=0$ and the auxiliary conditions, $f(0)=0$, $\dfrac{d(f)}{d(t)}(0)=4$. The Laplace transform ...
0 0 votes
0 0 answers
336
336 views
go_editor asked Sep 18, 2020
336 views
GATE2020-ME-2: 4
The solution of $$\dfrac{d^2y}{dt^2}-y=1,$$ which additionally satisfies $y \bigg \vert_{t=0} = \dfrac{dy}{dt} \bigg \vert_{t=0}=0$ in the Laplace $s$-domain is$\dfrac{1}...
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