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

Question:

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.
dy/dt = (1 + 4t) √y
(a) Analytically.
(b) Euler's method.
(c) Heun's method without iteration.
(d) Ralston's method.
(e) Fourth-order RK method.