ð‘¦ â€² = ð‘¦ âˆ’ ð‘¦ 2 + 1.14 cos(ð‘’ ð‘¡/2 ) with ð‘¦(0) = ð‘¦0 and ð‘¡ â‰¥ 0

Approximate the solution to the IVP using the RK4 method with the following conditions:

Initial condition ð‘¦0 = 1;

time steps â„Ž = 1 8 , 1 16 , 1 32 , 1 64 ; and time interval ð‘¡ âˆˆ [0,20]

Plot the RK4 approximation for all 4 time steps

Discuss the results of these approximations