Please answer in python code

2.2 15 pts Find the stationary points of the ODE (using Bisection method) x = sin(x) , exp(x) both stable and unstable on the interval [2; 4 Hint: Plot out the function sin(x) exp(x). You can use Google and get a rough estimate of where the fixed points should be, and whether they are stable or unstable. 2.3 25 pts Using a numerical solver (either Forward Euler or Runge-Kutta methods or bisection method) find the fixed points, both stable and unstable for the following differential equation, with x e -4,4]: x = x , sin(x)-1 In this section, you need to define a function with several input arguments, and output a dictionary with index name equal to 'stable' and 'unstable'. Hint: Solve the ODE for different initial conditions xo E44. For some initial points, the solution should converge to an equilibrium point. The stable fixed points are easier to find, while estimating the unstable will be more difficult. Forward Euler Method: If we have a differential equation defined by x = f(x) then given an initial condition of x(0) = xo and ot > 0 the forward Euler algorithm is described as We see that the Forward Euler method is a straight forward application of linear approximation 2.2 15 pts Find the stationary points of the ODE (using Bisection method) x = sin(x) , exp(x) both stable and unstable on the interval [2; 4 Hint: Plot out the function sin(x) exp(x). You can use Google and get a rough estimate of where the fixed points should be, and whether they are stable or unstable. 2.3 25 pts Using a numerical solver (either Forward Euler or Runge-Kutta methods or bisection method) find the fixed points, both stable and unstable for the following differential equation, with x e -4,4]: x = x , sin(x)-1 In this section, you need to define a function with several input arguments, and output a dictionary with index name equal to 'stable' and 'unstable'. Hint: Solve the ODE for different initial conditions xo E44. For some initial points, the solution should converge to an equilibrium point. The stable fixed points are easier to find, while estimating the unstable will be more difficult. Forward Euler Method: If we have a differential equation defined by x = f(x) then given an initial condition of x(0) = xo and ot > 0 the forward Euler algorithm is described as We see that the Forward Euler method is a straight forward application of linear approximation