pls solve on matlab and manually rk2 and rk4 thx

1. Suppose that a projectile is launched upward from the earth's surface. Assume that the only force acting on the object is the downward force of gravity. Under these conditions, a force balance can be used to derive dv R2 =-g(0) dt (R + x)2 where v = upward velocity (m/s), t = time (s), x = altitude (m) measured upward from the earth's surface, g(0) = the gravitational acceleration at the earth's surface (~ = 9.81 m/s2), and R = the earth's radius (~ = 6.37% 106 m). (Recognize that dx/dt = v) Initial condition is given as v= 1500 m/s (at t=0). 2. Please solve differential equation time interval between t=0 to t=10 with b) RK2 Method c) RK4 Method Note: All problems will be solved both with MATLAB software (m. file) and plot the results and give them with PDF (.pdf file). After the solutions should be uploaded to