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GATE CSE 1994 | Question: 1.3

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

  1. $y_{n+1}=y_n+hf(x_n, y_n)$

  2. $y_{n+1}=y_n+hf(x_{n+1}, y_{n+1})$

  3. $y_{n+1}=y_{n-1}+2hf(x_n, y_n)$

  4. $y_{n+1}= (1+h)f(x_{n+1}, y_{n+1})$

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