Question: y = s i n ( t ) ( 1 y ) with y ( 0 ) = y o and t 0 Part 2-

y=sin(t)(1y) with y(0)=yo and t0

Part 2- Approximate the solution to the IVP using IMPROVED Euler's method with the following conditions: y0=21 ; time step h=161 and time interval t[0,20]

-derive the recursive formula for the improved eulers method applied to this IVP

-plot the improved eulers method approximation

-plot the absolute error between the approximation and the exact solution using a semilog plot

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