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GATE EC 2021: Engineering Mathematics Quiz 10 (App update required to attempt this test)
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Question 1
Match the Group-1 to Group-2 with their correct option
GROUP 1
[P] 2nd order differential equations
[Q] Non – linear algebraic equations
[R] Linear algebraic equations
[S] numerical integration
GROUP 2
[1] Range - kutta method
[2] newton – Rapson method
[3] gauss elimination
[4] Simpson’s rule
GROUP 1
[P] 2nd order differential equations
[Q] Non – linear algebraic equations
[R] Linear algebraic equations
[S] numerical integration
GROUP 2
[1] Range - kutta method
[2] newton – Rapson method
[3] gauss elimination
[4] Simpson’s rule
Question 2
A function f (x) is given as
The value of 
d(x) as evaluated by simpson’s 1/3 rule method
Question 3
Given 
=x2-y2, y (0) =1 The value of y(0.1) using Runge-kutta Second order method is (Take h=0.1)
=x2-y2, y (0) =1 The value of y(0.1) using Runge-kutta Second order method is (Take h=0.1)Question 4
Find the value of the integral of 
from 5 to 11 by Simpson’s 
rule taking number of intervals, n=6.
[Write the answer upto two decimal point]
from 5 to 11 by Simpson’s rule taking number of intervals, n=6.[Write the answer upto two decimal point]
Question 5
Consider the differential equation 
, y(1) =2 Find the value of y(2) by first order Euler’s method with step size h = 0.5 is _____?
, y(1) =2 Find the value of y(2) by first order Euler’s method with step size h = 0.5 is _____?Question 6
If a root of the equation 3x3 – 4x2 – 4x + 7 = 0 is found out using Newton Raphson’s method. If the first assumption for the root is 2.5, then the root after 2 iterations will be
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