Question: Question 3: 25 Marks Consider the initial value problem with the initial contition (3.1) Solve the equation analytically. (10) (3.2) Solve the equation using the

Question 3: 25 Marks Consider the initial value problem with the initial contition (3.1) Solve the equation analytically. (10) (3.2) Solve the equation using the fourth-order Runge-Kutta method, with step size h = (15) 0.50000. Provide three points in detail. Question 4: 25 Marks Consider the boundary value problem du dt? + 77u = 2n? sin(72r), with the boundary conditions ulO) =a(1)=1. (4.1) Solve the problem analytically. (10) (4.2) Solve the problem using the finite element method. (15)

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