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- Implement Euler's method and 4th order Runge-Kutta (RK) method in Matlab. Keep your programming so that you can change the ODE and step size dt easily.
- Bench mark your code with linear problem of form y' + p(t)y = g(t) on [t0,t1]; y(t0) = y0.Choose your own functions p(t) and g(t) such that they are continuous on an interval [t0,t1] and solve yourInitial Value Problem(IVP) analytically.
- Use your Eulers method and 4th order Runge-Kutta method to approximate the solution to this IVP using the same choice of interval [t0,t1], step size dt for both algorithms. Plot your exact solution and numerical solutions (Euler and RK) on the same axes and include a legend to differentiate the three lines.
- Change step size dt to analyze the order of accuracy. Write a report. Include results of your experiments and theoretical expectation. Attach the code.
What angle of inclination docs that correspond to?
What is the value of the Fibonacci number Fn, where n = 30? Suppose a second-order difference equation is of the form Yn+2 + byn+1 + cyn = dn, where b = 6, c = 41 and d = 41. In radians and to two decimal places, what is the value of θ in the complem..
A rectangular piece of metal is 10 in longer than it is wide. Squares with sides 2 in long are cut from the four corners, and the flaps are folded upward to form an open box. If the volume of the box is 832 in3 what were the original dimensions of..
Determine the mass the vessel
How is doing operations (adding, subtracting, multiplying, and dividing) with rational expressions similar to or different from doing operations with fractions?
A recent poll of 2350 U.S. voters found that 1034 of them currently approve of Obama's performance as president. Make a 99% confidence interval for the proportion of all U.S. voters that approve of Obama's performance. Describe the meaning of th..
What did you use to treat it and did the treatment have any side effects? What would be the advantage of using an oral treatment vs. a cream or ointment?
Identify which lines are parallel (Hint :- Parallel line have the same gradient and perpendicular lines when their gradients are multiplied you get -1) Find the gradient of the line joining the two points
Calculate the ambiguity function of a signal with an envelope u(t) = Bexp(-t^2)T^2). What should be the value of B that will make the signal of the unit energy?
Create a research scenario in which it would be correct to use an ANOVA, including the research question, sample size, and dependent and independent variables.
The temperature 100 ft below sea level is 36°F. The temperature at sea level is 56°F.
suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with a mean of 207
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