Q2) Q3) a) Find the root of the equation xlogx=1 which lies in between 2&3 correct to 3 d.p using Regular false method. b) Compute the integral 1=√(x²+3)dxusing Simpson's 3/8 rule for n=3 c) Using Taylor series obtain the power solution of the initial value problem y¹ = x²-y²,y(0)=1 the powers of x a) Find the root of the equation f(x) = x²-3x²+2 in the vicinity of x=0. Using Newton Raphson method correct to 4 d.p b) Given the equation = x² - 3x + 1 with y(1)=2 dx Estimate y(2) by Euler's method using i) h=0.5 CAT 2: ii) h=0.25 -5 dx So a) Find an approximate value of loge by calculating √ 4x4 by Simpson rule of integration use n=10 b) Solve the given initial value problem using modified using modified Euler method for value of y at the given point x with given h. y¹ = 1+ (x + y) at the point x=0.2 h=0.1
Q2) Q3) a) Find the root of the equation xlogx=1 which lies in between 2&3 correct to 3 d.p using Regular false method. b) Compute the integral 1=√(x²+3)dxusing Simpson's 3/8 rule for n=3 c) Using Taylor series obtain the power solution of the initial value problem y¹ = x²-y²,y(0)=1 the powers of x a) Find the root of the equation f(x) = x²-3x²+2 in the vicinity of x=0. Using Newton Raphson method correct to 4 d.p b) Given the equation = x² - 3x + 1 with y(1)=2 dx Estimate y(2) by Euler's method using i) h=0.5 CAT 2: ii) h=0.25 -5 dx So a) Find an approximate value of loge by calculating √ 4x4 by Simpson rule of integration use n=10 b) Solve the given initial value problem using modified using modified Euler method for value of y at the given point x with given h. y¹ = 1+ (x + y) at the point x=0.2 h=0.1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:Q2)
Q3)
a) Find the root of the equation xlogx=1 which lies in between 2&3 correct to 3 d.p using Regular
false method.
b) Compute the integral 1=√(x²+3)dxusing Simpson's 3/8 rule for n=3
c) Using Taylor series obtain the power solution of the initial value problem y¹ = x²-y²,y(0)=1
the powers of x
a) Find the root of the equation f(x) = x²-3x²+2 in the vicinity of x=0. Using Newton Raphson
method correct to 4 d.p
b) Given the equation = x² - 3x + 1 with y(1)=2
dx
Estimate y(2) by Euler's method using i) h=0.5
CAT 2:
ii) h=0.25
-5 dx
So
a) Find an approximate value of loge by calculating √ 4x4 by Simpson rule of integration use
n=10
b) Solve the given initial value problem using modified using modified Euler method for value of y
at the given point x with given h. y¹ = 1+ (x + y) at the point x=0.2 h=0.1
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