Register

GATE2019 ME-2: 27

• recategorized by
404 views
0 0 votes

A diffferential equation is given as $$x^2 \frac{d^2y}{dx^2} – 2x \frac{dy}{dx} +2y =4$$ The solution of the differential equation in terms of arbitrary constants $C_1$ and $C_2$ is

  1. $y=C_1x^2 +C_2 x+2 \\$
  2. $y=\dfrac{C_1}{x^2} +C_2x+2 \\$
  3. $y=C_1x^2+C_2x+4 \\$
  4. $y=\dfrac{C_1}{x^2}+C_2x+4$

Please log in or register to answer this question.

Related questions

0 0 votes
1 1 answer
620
620 views
Arjun asked Feb 9, 2019
620 views
GATE2019 ME-2: 3
The differential equation $\dfrac{dy}{dx}+4y=5$ is valid in the domain $0 \leq x \leq 1$ with $y(0)=2.25$. The solution of the differential equation is$y=e^{-4x}+5$$y=e^{...
0 0 votes
0 0 answers
265
265 views
go_editor asked Feb 19, 2020
265 views
GATE2020-ME-1: 35
Consider two exponentially distributed random variables $\text{X and Y}$, both having a mean of $0.50$. Let $Z=X+Y$ and $r$ be the correlation between $\text{X and Y}$.If...
0 0 votes
0 0 answers
82
82 views
gatecse asked Feb 23
82 views
GATE Mechanical 2026 | Question: 27
Consider the following differential equation\[\frac{\partial y}{\partial x}=3 \frac{\partial y}{\partial t}+y\]If $y(x, 0)=10 e^{-2 x}$, then the solution of the differen...
0 0 votes
0 0 answers
349
349 views
Arjun asked Feb 15, 2022
349 views
GATE Mechanical 2022 Set 2 | Question: 26
For the exact differential equation,$$\frac{du}{dx}= \frac{-xu^{2}}{2+x^{2}u},$$which one of the following is the solution?$u^{2} + 2x^{2} =$ constant$xu^{2} + u =$ const...
Voting & Accepting an answer helps improve the community

Related questions

0 0 votes
1 1 answer
620
620 views
Arjun asked Feb 9, 2019
620 views
GATE2019 ME-2: 3
The differential equation $\dfrac{dy}{dx}+4y=5$ is valid in the domain $0 \leq x \leq 1$ with $y(0)=2.25$. The solution of the differential equation is$y=e^{-4x}+5$$y=e^{...
0 0 votes
0 0 answers
265
265 views
go_editor asked Feb 19, 2020
265 views
GATE2020-ME-1: 35
Consider two exponentially distributed random variables $\text{X and Y}$, both having a mean of $0.50$. Let $Z=X+Y$ and $r$ be the correlation between $\text{X and Y}$.If...
0 0 votes
0 0 answers
82
82 views
gatecse asked Feb 23
82 views
GATE Mechanical 2026 | Question: 27
Consider the following differential equation\[\frac{\partial y}{\partial x}=3 \frac{\partial y}{\partial t}+y\]If $y(x, 0)=10 e^{-2 x}$, then the solution of the differen...
0 0 votes
0 0 answers
349
349 views
Arjun asked Feb 15, 2022
349 views
GATE Mechanical 2022 Set 2 | Question: 26
For the exact differential equation,$$\frac{du}{dx}= \frac{-xu^{2}}{2+x^{2}u},$$which one of the following is the solution?$u^{2} + 2x^{2} =$ constant$xu^{2} + u =$ const...
← Previous · GATE2019 ME-2: 28Next → · GATE2019 ME-2: 26
Next in category → · GATE2020-ME-1: 35
Position:
Show:
Answer:

Add Synced Question

×