Question

Consider the following Ordinary Differential Equation:ODE : d 2y dx2 + 5 dy dx + 4y = 1 x ∈ [0; 1] BC : y(0) = 1; y 00(1) = 0 Using a finite difference method, construct a system of linear equations to solve the ordinary differential equation. Give the system in matrix form: M· y = rhs. You do not need to solve the system for y. Use a grid spacing h = 0.2 and all approximations of the derivatives need to be 2nd order accurate, e.g. error = O(h 2 ).

Answer 1

Answer:

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