Solve IVP numerically using improved Euler's method with Nlarge timesteps $($use variable names as instructed$).$

Solve IVP numerically using improved Euler's method with Nhuge timesteps $($use variable names as instructed$).$

In the following steps, we define error as exact $-$ numerical solution value at the last time step

Compute numerical solution error at the last time step for improved Euler with Nsmall timesteps $($use variable names as instructed$).$

Compute numerical solution error at the last time step for improved Euler with Nmed timesteps $($use variable names as instructed$).$

Compute numerical solution error at the last time step for improved Euler with Nlarge timesteps $($use variable names as instructed$).$

Compute numerical solution error at the last time step for improved Euler with Nhuge timesteps $($use variable names as instructed$).$