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how can I solve this exercise

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Victoria Ródenas
Victoria Ródenas 2020-1-10
关闭： John D'Errico 2020-1-10
I need to solve this exercise:
knowing dc(t)/dt=kd*c(t)^2 --> Co=10 (t=0), kd=0,1
1.The exact solution to the problem of initial values ​(1), C (t).
2. If we measure the time t in hours, find a numerical approximation to the temporal evolution during a time of 10 hours, using the explicit methods of Euler, Heun and RK4, taking a number of subintervals N = 10 . Graphically represent the numerical solution and also the exact solution obtained in the previous section.
3. Complete the following table where, for successive numbers of subintervals N = 10, 20, 40, 80, the maximum error (in absolute value) committed by each numerical method in the previous time interval must be found. Which method is more exact?
Please, if somebody can help me i would be very grateful. Thank you so much

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