. Consider the following first-order ODE: dy from x-0 to x=2.1 with y(0) = 2 %3D dx a. Solve with Euler's explicit method using h=0.70. b. Solve with the modified Euler method using h-0.70. C. Solve...

the analytical solution of the ODE is y=√2x³ / 3 + 4. in each part, calculate the error between the tru solution and the numerical solution at the points where the numerical solution is determined. Number 2 in the picture.


Extracted text: . Consider the following first-order ODE: dy from x-0 to x=2.1 with y(0) = 2 %3D dx a. Solve with Euler's explicit method using h=0.70. b. Solve with the modified Euler method using h-0.70. C. Solve with the classical fourth-order Runge-Kutta method using h-0.70. 2. The analytical solution of the ODE is y = 2x3 +4.In each part, calculate 3. the error between the true solution and the numerical solution at the points where the numerical solution is determined. Consider the following first-order ODE: TRSUN