Differential Equation:

Using Runge-Kutta method, solve the following First Order Nonlinear Differential Equation Submit: (a) Your code, (b) A plot showing the exact and numerical solutions on the same plot (c) A table showing the exact value, numerical value, and absolute value of the difference between these two values at x = 1, 2, 3, 4, 5 dy/dx = 3x^2 + 4x + 2/2(y - 1), y(0) in 0 lessthanorequalto x lessthanorequalto 5 using Delta x = h = 0.01 Compare with the exact solution y(x) = 1 - Squareroot x^3 + 2x^2 + 2x + 4