Solve the following problem over the interval from x = 0 to 1 using a step size of 0.25 wh...

Solve the following problem over the interval from x = 0 to 1 using a step size of 0.25 where y(0) = 1. Display all your results on the same graph.

(a) Analytically.

(b) Using Euler’s method.

(c) Using Heun’s method without iteration.

(d) Using Ralston’s method.

(e) Using the fourth-order RK method.