GATE ECE 2014 Set 3 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2014 Set 3

MCQ (Single Correct Answer)

-0.6

Which ONE of the following is a linear non - homogeneous differential equation , where $$x$$ and $$y$$ are the independent and dependent variables respectively?

$${{dy} \over {dx}} + xy = {e^{ - x}}$$

$${{dy} \over {dx}} + xy = 0$$

$${{dy} \over {dx}} + xy = {e^{ - y}}$$

$${{dy} \over {dx}} + {e^{ - y}} = 0$$

GATE ECE 2014 Set 3

MCQ (Single Correct Answer)

-0.6

Match the application to appropriate numerical method

Applications
$$P1:$$ Numerical integration
$$P2:$$ Solution to a transcendental equation
$$P3:$$ Solution to a system of linear equations
$$P4:$$ Solution to a differential equation

Numerical Method
$$M1:$$ Newton-Raphson Method
$$M2:$$ Runge-Kutta Method
$$M3:$$ Simpson's $$1/3-$$rule
$$M4:$$ Gauss Elimination Method

$$P1 - M3,\,\,P2 - M2,\,\,P3 - M4,\,\,P4 - M1$$

$$P1 - M3,\,\,P2 - M1,\,\,P3 - M4,\,\,P4 - M2$$

$$P1 - M4,\,\,P2 - M1,\,\,P3 - M3,\,\,P4 - M2$$

$$P1 - M2,\,\,P2 - M1,\,\,P3 - M3,\,\,P4 - M4$$

GATE ECE 2014 Set 3

Numerical

-0

In the figure shown, the value of the current I (in Amperes) is __________.