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GATE 2014 EC (EC3) – Question 13

Engineering Mathematics · Differential Equations · 1 mark · Multiple choice

Match applications P1: numerical integration; P2: transcendental equation; P3: system of linear equations; P4: differential equation with methods M1: Newton–Raphson; M2: Runge–Kutta; M3: Simpson’s 1/3 rule; M4: Gauss elimination.

  1. P1–M3, P2–M2, P3–M4, P4–M1
  2. P1–M3, P2–M1, P3–M4, P4–M2
  3. P1–M4, P2–M1, P3–M3, P4–M2
  4. P1–M2, P2–M1, P3–M3, P4–M4

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Show answer and explanation

Correct answer: (B) P1–M3, P2–M1, P3–M4, P4–M2

Explanation

Simpson’s1/3rule approximates integrals; Newton-Raphson finds roots, including transcendental equations; Gauss elimination solves linear systems; Runge-Kutta integrates ordinary differential equations. Hence **P1–M3,P2–M1,P3–M4,P4–M2,B**.