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Recent questions tagged differential-equation
0
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0
answers
1
NIELIT 2017 OCT Scientific Assistant A (IT) - Section D: 6
A solution for the differential equation $x’(t) + 2x(t) = \delta(t)$ with initial condition $x(\overline{0}) = 0$ $e^{-2t}u(t)$ $e^{2t}u(t)$ $e^{-t}u(t)$ $e^{t}u(t)$
Lakshman Patel RJIT
asked
in
Calculus
Aug 28, 2020
by
Lakshman Patel RJIT
232
views
nielit2017oct-assistanta-it
differential-equation
non-gate
0
votes
0
answers
2
NIELIT 2017 OCT Scientific Assistant A (CS) - Section D: 6
A solution for the differential equation $x’(t) + 2x(t) = \delta(t)$ with initial condition $x(\overline{0}) = 0$ $e^{-2t}u(t)$ $e^{2t}u(t)$ $e^{-t}u(t)$ $e^{t}u(t)$
Lakshman Patel RJIT
asked
in
Optimization
Aug 28, 2020
by
Lakshman Patel RJIT
160
views
nielit2017oct-assistanta-cs
non-gate
differential-equation
0
votes
0
answers
3
NIELIT 2016 MAR Scientist B - Section B: 15
Differential equation, $\dfrac{d^2x}{dt^2}+10\dfrac{dx}{dt}+25x=0$ will have a solution of the form $(C_1+C_2t)e^{-5t}$ $C_1e^{-2t}$ $C_1e^{-5t}+C_2e^{5t}$ $C_1e^{-5t}+C_2e^{2t}$ where $C_1$ and $C_2$ are constants.
Lakshman Patel RJIT
asked
in
Calculus
Mar 31, 2020
by
Lakshman Patel RJIT
156
views
nielit2016mar-scientistb
non-gate
differential-equation
0
votes
1
answer
4
ISI2015-MMA-85
The differential equation of all the ellipses centred at the origin is $y^2+x(y’)^2-yy’=0$ $xyy’’ +x(y’)^2 -yy’=0$ $yy’’+x(y’)^2-xy’=0$ none of these
Arjun
asked
in
Others
Sep 23, 2019
by
Arjun
220
views
isi2015-mma
differential-equation
ellipse
non-gate
0
votes
1
answer
5
ISI2015-MMA-87
If $x(t)$ is a solution of $(1-t^2) dx -tx\: dt =dt$ and $x(0)=1$, then $x\big(\frac{1}{2}\big)$ is equal to $\frac{2}{\sqrt{3}} (\frac{\pi}{6}+1)$ $\frac{2}{\sqrt{3}} (\frac{\pi}{6}-1)$ $\frac{\pi}{3 \sqrt{3}}$ $\frac{\pi}{\sqrt{3}}$
Arjun
asked
in
Others
Sep 23, 2019
by
Arjun
239
views
isi2015-mma
differential-equation
non-gate
0
votes
0
answers
6
ISI2015-MMA-88
Let $f(x)$ be a given differentiable function. Consider the following differential equation in $y$ $f(x) \frac{dy}{dx} = yf’(x)-y^2.$ The general solution of this equation is given by $y=-\frac{x+c}{f(x)}$ $y^2=\frac{f(x)}{x+c}$ $y=\frac{f(x)}{x+c}$ $y=\frac{\left[f(x)\right]^2}{x+c}$
Arjun
asked
in
Others
Sep 23, 2019
by
Arjun
163
views
isi2015-mma
differential-equation
general-solution
non-gate
0
votes
0
answers
7
ISI2015-MMA-89
Let $y(x)$ be a non-trivial solution of the second order linear differential equation $\frac{d^2y}{dx^2}+2c\frac{dy}{dx}+ky=0,$ where $c<0$, $k>0$ and $c^2>k$. Then $\mid y(x) \mid \to \infty$ as $x \to \infty$ $\mid y(x) \mid \to 0$ as $x \to \infty$ $\underset{x \to \pm \infty}{\lim} \mid y(x) \mid$ exists and is finite none of the above is true
Arjun
asked
in
Others
Sep 23, 2019
by
Arjun
139
views
isi2015-mma
differential-equation
non-gate
0
votes
1
answer
8
ISI2015-MMA-90
The differential equation of the system of circles touching the $y$-axis at the origin is $x^2+y^2-2xy \frac{dy}{dx}=0$ $x^2+y^2+2xy \frac{dy}{dx}=0$ $x^2-y^2-2xy \frac{dy}{dx}=0$ $x^2-y^2+2xy \frac{dy}{dx}=0$
Arjun
asked
in
Others
Sep 23, 2019
by
Arjun
188
views
isi2015-mma
differential-equation
non-gate
0
votes
0
answers
9
ISI2015-MMA-91
Suppose a solution of the differential equation $(xy^3+x^2y^7)\frac{\mathrm{d} y}{\mathrm{d} x}=1,$ satisfies the initial condition $y(1/4)=1$. Then the value of $\dfrac{\mathrm{d} y}{\mathrm{d} x}$ when $y=-1$ is $\frac{4}{3}$ $- \frac{4}{3}$ $\frac{16}{5}$ $- \frac{16}{5}$
Arjun
asked
in
Others
Sep 23, 2019
by
Arjun
165
views
isi2015-mma
differential-equation
non-gate
0
votes
1
answer
10
ISI2016-DCG-67
The general solution of the differential equation $2y{y}'-x=0$ is (assuming $C$ as an arbitrary constant of integration) $x^{2}-y^{2}=C$ $2x^{2}-y^{2}=C$ $2y^{2}-x^{2}=C$ $x^{2}+y^{2}=C$
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
164
views
isi2016-dcg
calculus
differential-equation
non-gate
0
votes
1
answer
11
ISI2016-DCG-68
The general solution of the differential equation $x+y-x{y}'=0$ is (assuming $C$ as an arbitrary constant of integration) $y=x(\log x+C)$ $x=y(\log y+C)$ $y=x(\log y+C)$ $y=y(\log x+C)$
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
171
views
isi2016-dcg
calculus
differential-equation
non-gate
0
votes
1
answer
12
ISI2016-DCG-69
Consider the differential equation $(x^{2}-y^{2})\frac{\mathrm{d} y}{\mathrm{d} x}=2xy.$ Assuming $y=10$ for $x=0,$ its solution is $x^{2}+(y-5)^{2}=25$ $x^{2}+y^{2}=100$ $(x-5)^{2}+y^{2}=125$ $(x-5)^{2}+(y-5)^{2}=50$
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
173
views
isi2016-dcg
calculus
differential-equation
non-gate
0
votes
0
answers
13
ISI2017-DCG-24
The differential equation $x \frac{dy}{dx} -y=x^3$ with $y(0)=2$ has unique solution no solution infinite number of solutions none of these
gatecse
asked
in
Others
Sep 18, 2019
by
gatecse
160
views
isi2017-dcg
engineering-mathematics
calculus
non-gate
differential-equation
0
votes
1
answer
14
ISI2018-MMA-25
The solution of the differential equation $(1 + x^2y^2)ydx + (x^2y^2 − 1)xdy = 0$ is $xy = \log\ x − \log\ y + C$ $xy = \log\ y − \log\ x + C$ $x^2y^2 = 2(\log\ x − \log\ y) + C$ $x^2y^2 = 2(\log\ y − \log\ x) + C$
akash.dinkar12
asked
in
Others
May 11, 2019
by
akash.dinkar12
371
views
isi2018-mma
non-gate
differential-equation
1
vote
1
answer
15
ISI2019-MMA-18
For the differential equation $\frac{dy}{dx} + xe^{-y}+2x=0$ It is given that $y=0$ when $x=0$. When $x=1$, $\:y$ is given by $\text{ln} \bigg(\frac{3}{2e} – \frac{1}{2} \bigg)$ $\text{ln} \bigg(\frac{3e}{2} – \frac{1}{4} \bigg)$ $\text{ln} \bigg(\frac{3}{e} – \frac{1}{2} \bigg)$ $\text{ln} \bigg(\frac{3}{2e} – \frac{1}{4} \bigg)$
Sayan Bose
asked
in
Others
May 7, 2019
by
Sayan Bose
4.2k
views
isi2019-mma
non-gate
engineering-mathematics
calculus
differential-equation
0
votes
1
answer
16
ISI2019-MMA-6
The solution of the differential equation $\frac{dy}{dx} = \frac{2xy}{x^2-y^2}$ is $x^2 + y^2 = cy$, where $c$ is a constant $x^2 + y^2 = cx$, where $c$ is a constant $x^2 – y^2 = cy$ , where $c$ is a constant $x^2 - y^2 = cx$, where $c$ is a constant
Sayan Bose
asked
in
Calculus
May 6, 2019
by
Sayan Bose
762
views
isi2019-mma
non-gate
engineering-mathematics
calculus
differential-equation
1
vote
0
answers
17
NIELIT 2018-18
If $y^a$ is an integrating factor of the differential equation $2xydx-(3x^2-y^2)dy=0$, then the value of $a$ is $-4$ $4$ $-1$ $1$
Arjun
asked
in
Others
Dec 7, 2018
by
Arjun
468
views
nielit-2018
non-gate
differential-equation
1
vote
0
answers
18
NIELIT 2018-20
The general solution of the differential equation $\frac{dy}{dx} = (1+y^2)(e^{-x^2}-2x \tan^{-1} y)$ is: $e^{x^2} \tan^{-1} y = x+c$ $e^{-x^2} \tan^y = x+c$ $e^x \tan y = x^2+c$ $e^{-x} \tan^{-1} y = x^3+c$
Arjun
asked
in
Others
Dec 7, 2018
by
Arjun
389
views
nielit-2018
non-gate
differential-equation
1
vote
1
answer
19
NIELIT 2018-22
While solving the differential equation $\frac{d^2 y}{dx^2} +4y = \tan 2x$ by the method of variation of parameters, then value of Wronskion (W) is: $1$ $2$ $3$ $4$
Arjun
asked
in
Others
Dec 7, 2018
by
Arjun
2.7k
views
nielit-2018
non-gate
differential-equation
2
votes
0
answers
20
NIELIT 2018-25
The general solution of the partial differential equation $(D^2-D’^2-2D+2D’)Z=0$ where $D= \frac{\partial}{\partial x}$ and $D’=\frac{\partial}{\partial y}$: $f(y+x)+e^{2x}g(y-x)$ $e^{2x} f(y+x)+g(y-x)$ $e^{-2x} f(y+x)+g(y-x)$ $f(y+x)+e^{-2x}g(y-x)$
Arjun
asked
in
Others
Dec 7, 2018
by
Arjun
513
views
nielit-2018
non-gate
differential-equation
partial-order
0
votes
1
answer
21
ISI2017-MMA-9
A function $y(x)$ that satisfies $\dfrac{dy}{dx}+4xy=x$ with the boundary condition $y(0)=0$ is $y(x)=(1-e^x)$ $y(x)=\frac{1}{4}(1-e^{-2x^2})$ $y(x)=\frac{1}{4}(1-e^{2x^2})$ $y(x)=\frac{1}{4}(1-\cos x)$
go_editor
asked
in
Calculus
Sep 15, 2018
by
go_editor
314
views
isi2017-mmamma
calculus
differential-equation
non-gate
0
votes
0
answers
22
ISI2016-MMA-7
The set of value(s) of $\alpha$ for which $y(t)=t^{\alpha}$ is a solution to the differential equation $t^2 \frac{d^2y}{dx^2}-2t \frac{dy}{dx}+2y =0 \: \text{ for } t>0$ is $\{1\}$ $\{1, -1\}$ $\{1, 2\}$ $\{-1, 2\}$
go_editor
asked
in
Calculus
Sep 13, 2018
by
go_editor
126
views
isi2016-mmamma
differential-equation
non-gate
0
votes
0
answers
23
virtual gate
Manoja Rajalakshmi A
asked
in
Calculus
Nov 17, 2017
by
Manoja Rajalakshmi A
184
views
differential-equation
5
votes
1
answer
24
GATE CSE 1993 | Question: 01.2
The differential equation $\frac{d^2 y}{dx^2}+\frac{dy}{dx}+\sin y =0$ is: linear non- linear homogeneous of degree two
Kathleen
asked
in
Calculus
Sep 13, 2014
by
Kathleen
1.0k
views
gate1993
calculus
differential-equation
easy
out-of-gate-syllabus
multiple-selects
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