Question: Given the 3rd order ordinary differential equation below: x'+ 7x+ 20x '+ 24x = 2.4te-2t with initial conditions: x (0) = 3, x '(0) =

Given the 3rd order ordinary differential equation below:

x"'+ 7x"+ 20x '+ 24x = 2.4te-2t

with initial conditions:

x (0) = 3, x '(0) = -1, x"(0) = 0

1. Solve the value of y(4) using Heun's method with n = 10.

2. Find the true error.

3. Find the absolute relative true error.

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