Using python Solve the following equation numerically using the Heun method using h=0.1 and 0≤ t ≤10 du dt = (5t 2−u ) e (x +y) with the initial condition at t=0 , u (0)=1 As part of the solution process, converge the solution by decreasing the step size h. To determine if the solution is converged, you can find the maximum u (t ) for each step size h and plot maximum u (t ) .vs decreasing stepsize h.

Using python Solve the following equation numerically using the Heun method using h=0.1 and 0≤ t ≤10 du dt = (5t 2−u ) e (x +y) with the initial condition at t=0 , u (0)=1 As part of the solution process, converge the solution by decreasing the step size h. To determine if the solution is converged, you can find the maximum u (t ) for each step size h and plot maximum u (t ) .vs decreasing stepsize h.