Given the following ODE, y' + 5y = sin(x) a. Approximate by hand y (0.03) using 4th order Runge-Kutta with h=0.01 and y(0)=0. b. Using the previous results use Adam-Bashforth three step explicit method to approximate y (0.05) with h=0.01 c. Use MATLAB to approximate and plot the solution from x=0 to x=1 using 4th order Runge-Kutta with h=0.01 and y (0) =1.
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- please explain each stepSolve in matlab Example: solve 220 cos² (x) ex dx by Simpson's rule, and n=200Using the three-variable Karnaugh-map below Solve for its corresponding function expression Replot the function from part (1) on a different three-variable Karnaugh-map (Hint: try a different combination of variables)
- Use the Gauss-Siedel method to approximate the solution of the following system of linear equations. (Hint: you can stop iteration when you get very close results in three decimal places.) 5x1 - 2x2 + 3x3 = -1 %3D -3x1 + 9x2 + x3 = 2 2x1- X2-7x3 = 3use the Quine-McCluskey method for the following. Please make sure you show step by step solutions and original work.Using MATLAB Coding, determine the roots of the following function using matrix algebra involving the Newton-Raphson Method: f(x) = sin x in the proximity of x = 5 Note: You may or may not start with x = 5 as an initial guess Additionally, please give comments/guide on the process.
- MATLAB Solve with Matlab Consider the integral Så f (z) dz Use the two point Gauss-Legendre method to estimate the integral if a = -2, b = 3, and f (x) = a4x* + aza³ + azx² + a1x+ao where a4 =1 az =1.7 a2 =2.1 a1 =3.7 ao =-75 Enter your answer with 4 decimal places.By matlabEstimate the integral of f(x)=sin(x)/x between 0 and 1 using Simpson's 3/8 rule. Use n=12
- Solved this questionGiven the following Boolean Function: F(w,x,y,z) = Σ(8,10,12,14) Show the function in the truth table in column F. 1. 2. 3. 4. 5. 6. Determine the minterms, and create the SOP expression. Determine the maxterms, and create the POS expression. Create the Karnaugh map (K-Map) for the Function, complete the groupings, and determine the minimized expression. Draw the logic diagram for the K-Map minimized expression. Verify the K-map expression is equivalent to the original function using the truth table provided (showing all the steps to reach the outcome).Boolean function is represented by its truth table as follows: хуz f(x,y,z) 000 1 001 1 010 011 100 101 1 110 111 1 (a) Write corresponding minterm expansion. (b) Write corresponding maxterm expansion. (c) Minimize (Simplify) and Represent f(x,y,z) using Karnaugh map (K-map). (d) Minimize (Simplify) f(x,y,z) using Boolean identities. (e) Represent the simplified function using logic diagram.