The differential equation y′ = 2ty + e^t2, y(0) = 5, has solution y = (t + 5)e^t2. In the following table, fill in the second row with the values obtained from the use of a numerical method and the third row with the actual values calculated from the solution. What is the greatest difference between corresponding values in the second and third rows?

Transcribed Image Text:

ti Yi y 0 5 5 .2 5.412 .4 .6 .8 1 1.2 1.4 1.6 1.8 2 382.2