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GATE CH 2021 | Question: 1
An ordinary differential equation $\text{(ODE)}, \: \dfrac{dy}{dx}=2y$, with an initial condition $y(0)=1$, has the analytical ... $0.06$ $0.8$ $4.0$ $8.0$
An ordinary differential equation $\text{(ODE)}, \: \dfrac{dy}{dx}=2y$, with an initial condition $y(0)=1$, has the analytical solution $y=e^{2x}$.Using Runge-Kutta secon...
go_editor
1.4k
points
go_editor
asked
Mar 1, 2021
Numerical Methods
gatech-2021
numerical-methods
runge-kutta-method
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–
0
answers
0
votes
GATE Chemical 2020 | Question: 55
Consider the following dataset.$$\begin{array}{|c|c|c|c|c|c|} \hline x & 1 & 3 & 5 & 15 & 25 \\ \hline f(x) & 6 & 8 & 10 & 12 & 5 \\ \hline \end{array}$$The value of the ...
soujanyareddy13
1.8k
points
soujanyareddy13
asked
Nov 16, 2020
Numerical Methods
gate2020
numerical-answers
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
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–
0
answers
0
votes
GATE Chemical 2020 | Question: 1
Which one of the following methods requires specifying an initial interval containing the root (i.e., bracketing) to obtain the solution of $f(x) =0$, where $f(x)$ is a c...
soujanyareddy13
1.8k
points
soujanyareddy13
asked
Nov 16, 2020
Numerical Methods
gate2020
numerical-methods
newton-raphson-method
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–
0
answers
0
votes
GATE Chemical 2019 | Question: 36
The Newton-Raphson method is used to determine the root of the equation $f(x)=e^{-x}-x$. If the initial guess for the root is 0, the estimate of the root after two iterat...
Arjun
4.7k
points
Arjun
asked
Feb 24, 2019
Numerical Methods
gate2019
numerical-answers
numerical-methods
newton-raphson-method
+
–
0
answers
0
votes
GATE Chemical 2016 | Question: 1
Which one of the following is an iterative technique for solving a system of simultaneous linear algebraic equations?Gauss eliminationGauss-JordanGauss-Seidel$LU$ decompo...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Numerical Methods
gate2016
numerical-methods
system-of-equations
+
–
0
answers
0
votes
GATE Chemical 2016 | Question: 28
The model $y=mx^{2}$ is to be fit to the data given below.$$\begin{array}{|cl|cI|}\hline&{x} & {1} & {\sqrt{2}} & {\sqrt{3}} \\ \hline &{y} & {2} & {5} & {8} \\ \hline \e...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Numerical Methods
gate2016
numerical-answers
numerical-methods
linear-regression
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–
0
answers
0
votes
GATE Chemical 2016 | Question: 30
Values of $f\left ( x \right )$ in the interval $\left [ 0,4 \right ]$ are given below.$\begin{array}{|cl|cI|cI|cI|cI|cI|}\hline&{x} & \text{0} & \text{1} & \text{2} & \t...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Numerical Methods
gate2016
numerical-answers
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
+
–
0
answers
0
votes
GATE Chemical 2015 | Question: 38
The solution of the non-linear equation$$x^{3}-x=0$$is to be obtained using Newton-Raphson method. If the initial guess is $x=0.5$, the method converges to which one of t...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Numerical Methods
gate2015
numerical-methods
newton-raphson-method
+
–
0
answers
0
votes
GATE Chemical 2013 | Question: 29
The value of the integral${\scriptstyle \int^{0.5} _{0.1}}$ e$^{-x^3}$dxevaluated by Simpson’s rule using 4 subintervals (up to 3 digits after the decimal point) is $\_...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Numerical Methods
gate2013
numerical-answers
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
+
–
0
answers
0
votes
GATE Chemical 2012 | Question: 28
The Newton – Raphson method is used to find the roots of the equation $f(x) = x- \cos\pi x$ $0\...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Numerical Methods
gate2012
numerical-methods
newton-raphson-method
+
–
0
answers
0
votes
GATE Chemical 2018 | Question: 2
The fourth order Runge-Kutta ($RK4$) method to solve an ordinary differential equation $\frac{dy}{dx}=f\left ( x,y \right )$ is given as $$y\left ( x+h \right )=y\left ( ...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Numerical Methods
gate2018
numerical-methods
runge-kutta-method
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