GATE IN 2014 | GATE IN Year Wise Previous Years Questions

GATE IN 2014

MCQ (Single Correct Answer)

-0.3

The figure shows the plot of $$y$$ as a function of $$x$$ GATE IN 2014 Engineering Mathematics - Differential Equations Question 2 English

The function shown in the solution of the differential equation (assuming all initial conditions to be zero) is

$${{{d^2}y} \over {d{x^2}}} = 1$$

$${{dy} \over {dx}} = + x$$

$${{dy} \over {dx}} = - x$$

$${{dy} \over {dx}} = \left| x \right|$$

GATE IN 2014

MCQ (Single Correct Answer)

-0.3

The iteration step in order to solve for the cube roots of a given number $$'N'$$ using the Newton-Raphson's method is

$${x_{k + 1}} = {x_k} + {1 \over 3}\left( {N - x_k^3} \right)$$

$${x_{k + 1}} = {1 \over 3}\left( {2{x_k} + {N \over {x_k^2}}} \right)$$

$${x_{k + 1}} = {x_k} - {1 \over 3}\left( {N - x_k^3} \right)$$

$${x_{k + 1}} = {1 \over 3}\left( {2{x_k} - {N \over {x_k^2}}} \right)$$

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