Question: do not use numpy or scippy. Write a program that implements the Improved Euler and Runge - Kutta methods to solve the following second order
do not use numpy or scippy. Write a program that implements the Improved Euler and RungeKutta methods to solve the following second order ODE
yyx y y h
Your program should display to the user something like:
For the initial value problem y y x
Enter the value of y at x:
Enter the value of y at x:
Enter the step size for the numerical solution:
At what value of x do you want to know y and y
And then output:
At x####
For the improved Euler method: y#### and y####
For the RungeKutta method: y#### and y####
where #### are the formatted floating point numbers. not part of the output
Do you want to compute at a different xYN
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