The following ODE is given, where $y = y(x)$ \\
$2y^2 - y' - 4x^3 - x + 5 = 0$\
At $x = 0$, the value of $y$ is given as 1. Solve the equation for the interval of $x = [0, 1]$.\
(a) Solve by Forward Euler's method with a stepsize of 0.5.\
(b) Solve by Modified Euler (Heun) method with a stepsize of 0.5.