Consider the following boundary value problem: y" + y +1 = 2y' + t², y(0) = 2, y(1) = 4. (i) By using suitable finite-difference approximations to the derivatives, derive the following equation. (1+h)y;-1 + (h² – 2)y; = h²(t} – 1) – (1 – h)y+1 (ii) Solve the above boundary value problem above with step size h = 0.2. %3D

Q: 2. Solve the boundary-value problem = 4, y(0,t) = y(5,t) = 0, y(x,0) = 0, y.(x,0) = 5 sin rx. %3D

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