Question: Solve the question 1(2) by python : : 1/7/2020 1. python (1) Composite Simpsons Rule ():y,(e* dx,n=10 (2) Runge-Kuta Method of order 4:f to yo,

Solve the question 1(2) by python
: : 1/7/2020 1. python (1) Composite Simpsons Rule ():y,(e* dx,n=10 (2) Runge-Kuta Method of order 4:f to yo, h, n,t, w; printt w, y' = y(2 - y), y {0} = 0.1, h = 0.2, FR = 5(5 steps) 2. Ix),, Romberg Integration Composite Trapezoidal Rule f(x)dx( , || 10.0 10.5 1.0 15 2.0 2.5 3.0 3.5 | 4.0 f(x) | 1.0000E+00 | 18.8250E-01 6.0653E-01 3.2465E-01 | 1.3534E-01 14.3937E-02 | 1.1109E-02 || 12.1875E-03 | | 3.3546E-04 vi) + f(ti+1, Wi+1)], 3. Implicit Trapezoidal Method wi+1 = y = f(t,y)= -15y; y(0) = 1 : : 1/7/2020 1. python (1) Composite Simpsons Rule ():y,(e* dx,n=10 (2) Runge-Kuta Method of order 4:f to yo, h, n,t, w; printt w, y' = y(2 - y), y {0} = 0.1, h = 0.2, FR = 5(5 steps) 2. Ix),, Romberg Integration Composite Trapezoidal Rule f(x)dx( , || 10.0 10.5 1.0 15 2.0 2.5 3.0 3.5 | 4.0 f(x) | 1.0000E+00 | 18.8250E-01 6.0653E-01 3.2465E-01 | 1.3534E-01 14.3937E-02 | 1.1109E-02 || 12.1875E-03 | | 3.3546E-04 vi) + f(ti+1, Wi+1)], 3. Implicit Trapezoidal Method wi+1 = y = f(t,y)= -15y; y(0) = 1
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