Backward Euler method for solving the differential equation dy/dx = f(x,y) is…

GATE · 1994 · CS · Question 1 subparts

Backward Euler method for solving the differential equation dy/dx = f(x,y) is specified by, (choose one of the following).

  1. A.

    yₙ₊₁ = yₙ + hf(xₙ,yₙ)

  2. B.

    yₙ₊₁ = yₙ + hf(xₙ₊₁,yₙ₊₁)

  3. C.

    yₙ₊₁ = yₙ₋₁ + 2hf(xₙ,yₙ)

  4. D.

    yₙ₊₁ = (1 + h)f(xₙ₊₁,yₙ₊₁)

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