GATE & PSUs - Engineering Mathematics & General Aptitude (Common)

Numerical Solution of ODEs (Euler, Modified Euler, Runge-Kutta 4th Order) question bank (Numerical Methods)

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Q1.

[Numerical Solution of ODEs (Euler, Modified Euler, Runge-Kutta 4th Order) Concept 3] Newton-Raphson method is used to find the root of $f(x) = x^2 - 7 = 0$ with initial guess $x_0 = 2.0$. What is the value of $x_1$ after the first iteration?

(A)

$2.75$

(B)

$2.50$

(C)

$2.64$

(D)

$3.00$

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Q2.

[Numerical Solution of ODEs (Euler, Modified Euler, Runge-Kutta 4th Order) Concept 6] Newton-Raphson method is used to find the root of $f(x) = x^2 - 7 = 0$ with initial guess $x_0 = 2.0$. What is the value of $x_1$ after the first iteration?

(A)

$2.75$

(B)

$2.50$

(C)

$2.64$

(D)

$3.00$

Show answer & solution

Verified Answer & Solution Locked

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