In =roblem construct a table comparing the indicated values of y(x) using Euler’s method, the improved Euler’s method, and the RK4 method. Compute to four rounded decimal places. First use h = 0.1 and then use h = 0.05.

y' = sin x² + cos y², y(0) = 0;

y(0.1), y(0.2), y(0.3), y(0.4), y(0.5)