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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- An oscillating current in an electric circuit is described by i(t) = 9e cos(2rt) where t is in seconds. Use False Position Method to determine the value of t such that i=3.5. Plot the graph of the function to develop your initial guess. Terminate your computation when the approximate relative error falls below ɛs=10°. Give the results in a table.Represent the GCDs calculated in Problem 2 as a linear combination of the original numbers. (i.e., GCD (a, b) = s*a + t* b, where s and t could be found using Bezout’s Theorem).Using 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 = 3since I am not too good with matlab help me outuse 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.Solve the following using Matlab.